%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : NUM487+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Mon Jul 18 08:45:01 EDT 2022 % Result : Theorem 16.03s 4.99s % Output : Proof 116.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : NUM487+3 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jul 6 09:20:53 EDT 2022 % 0.12/0.34 % CPUTime : % 0.51/0.58 ____ _ % 0.51/0.58 ___ / __ \_____(_)___ ________ __________ % 0.51/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.51/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.51/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.51/0.58 % 0.51/0.58 A Theorem Prover for First-Order Logic % 0.51/0.58 (ePrincess v.1.0) % 0.51/0.58 % 0.51/0.58 (c) Philipp Rümmer, 2009-2015 % 0.51/0.58 (c) Peter Backeman, 2014-2015 % 0.51/0.58 (contributions by Angelo Brillout, Peter Baumgartner) % 0.51/0.58 Free software under GNU Lesser General Public License (LGPL). % 0.51/0.58 Bug reports to peter@backeman.se % 0.51/0.58 % 0.51/0.58 For more information, visit http://user.uu.se/~petba168/breu/ % 0.51/0.58 % 0.51/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.51/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.87/1.01 Prover 0: Preprocessing ... % 3.97/1.55 Prover 0: Constructing countermodel ... % 16.03/4.99 Prover 0: proved (4364ms) % 16.03/4.99 % 16.03/4.99 No countermodel exists, formula is valid % 16.03/4.99 % SZS status Theorem for theBenchmark % 16.03/4.99 % 16.03/4.99 Generating proof ... found it (size 5345) % 111.27/80.90 % 111.27/80.90 % SZS output start Proof for theBenchmark % 111.27/80.90 Assumed formulas after preprocessing and simplification: % 111.27/80.90 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & sdtmndt0(xn, xp) = xr & sdtasdt0(xp, v4) = v2 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v0, xp) = v1 & sdtpldt0(xp, v3) = xn & sdtpldt0(xp, xr) = xn & sdtpldt0(xn, xm) = v0 & isPrime0(xp) & doDivides0(xp, v2) & sdtlseqdt0(xp, xn) & aNaturalNumber0(v4) & aNaturalNumber0(v3) & aNaturalNumber0(xr) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) & ~ isPrime0(sz10) & ~ isPrime0(sz00) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v5 = sz00 | ~ (sdtsldt0(v9, v5) = v10) | ~ (sdtsldt0(v6, v5) = v7) | ~ (sdtasdt0(v8, v6) = v9) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v8) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtasdt0(v8, v7) = v10) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v6, v5) = v8) | ~ (sdtpldt0(v8, v9) = v10) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v11, v5) = v10 & sdtasdt0(v5, v11) = v12 & sdtasdt0(v5, v7) = v14 & sdtasdt0(v5, v6) = v13 & sdtpldt0(v13, v14) = v12 & sdtpldt0(v6, v7) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ (sdtpldt0(v8, v9) = v10) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v11, v5) = v12 & sdtasdt0(v7, v5) = v14 & sdtasdt0(v6, v5) = v13 & sdtasdt0(v5, v11) = v10 & sdtpldt0(v13, v14) = v12 & sdtpldt0(v6, v7) = v11)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v6, v5) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v8, v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v6, v5) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtasdt0(v5, v7) = v11 & sdtasdt0(v5, v6) = v10 & sdtlseqdt0(v10, v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v6, v5) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtasdt0(v5, v7) = v11 & sdtasdt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtasdt0(v6, v5) = v11 & sdtasdt0(v5, v7) = v10 & sdtlseqdt0(v11, v9) & sdtlseqdt0(v8, v10))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtasdt0(v6, v5) = v11 & sdtasdt0(v5, v7) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v6, v5) = v9) | ~ (sdtasdt0(v5, v7) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtasdt0(v7, v5) = v11 & sdtasdt0(v5, v6) = v10 & sdtlseqdt0(v10, v8) & sdtlseqdt0(v9, v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v6, v5) = v9) | ~ (sdtasdt0(v5, v7) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtasdt0(v7, v5) = v11 & sdtasdt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v8, v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtasdt0(v7, v5) = v11 & sdtasdt0(v6, v5) = v10 & sdtlseqdt0(v10, v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v5, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtasdt0(v7, v5) = v11 & sdtasdt0(v6, v5) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (sdtpldt0(v7, v5) = v9) | ~ (sdtpldt0(v6, v5) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtpldt0(v5, v7) = v11 & sdtpldt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (sdtpldt0(v7, v5) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtpldt0(v6, v5) = v11 & sdtpldt0(v5, v7) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (sdtpldt0(v6, v5) = v9) | ~ (sdtpldt0(v5, v7) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v9) & ~ (v10 = v8) & sdtpldt0(v7, v5) = v11 & sdtpldt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = v6 | ~ (sdtpldt0(v5, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ( ~ (v11 = v10) & sdtpldt0(v7, v5) = v11 & sdtpldt0(v6, v5) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = sz10 | v7 = sz00 | ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v6) | doDivides0(v7, v5) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v7 & ~ (v10 = v7) & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v7 & doDivides0(v10, v7) & aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v13] : ( ~ (sdtasdt0(v7, v13) = v10) | ~ aNaturalNumber0(v13))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = sz10 | v7 = sz00 | ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v6) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v7 & ~ (v10 = v7) & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v7 & doDivides0(v10, v7) & aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v11 = v5 & sdtasdt0(v7, v10) = v5 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v13] : ( ~ (sdtasdt0(v7, v13) = v10) | ~ aNaturalNumber0(v13))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = sz10 | v7 = sz00 | ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v5) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v7 & ~ (v10 = v7) & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v7 & doDivides0(v10, v7) & aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v11 = v6 & sdtasdt0(v7, v10) = v6 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v13] : ( ~ (sdtasdt0(v7, v13) = v10) | ~ aNaturalNumber0(v13))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v7 = sz10 | v7 = sz00 | ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v7 & ~ (v10 = v7) & ~ (v10 = sz10) & sdtasdt0(v10, v11) = v7 & doDivides0(v10, v7) & aNaturalNumber0(v11) & aNaturalNumber0(v10)) | (v11 = v6 & sdtasdt0(v7, v10) = v6 & aNaturalNumber0(v10)) | (v11 = v5 & sdtasdt0(v7, v10) = v5 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v13] : ( ~ (sdtasdt0(v7, v13) = v10) | ~ aNaturalNumber0(v13))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : (v5 = sz00 | ~ (sdtsldt0(v6, v5) = v7) | ~ (sdtasdt0(v8, v7) = v9) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v8) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : (sdtsldt0(v10, v5) = v9 & sdtasdt0(v8, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v8, v7) = v9) | ~ (sdtasdt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : (sdtasdt0(v6, v7) = v10 & sdtasdt0(v5, v10) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v8, v5) = v9) | ~ (sdtpldt0(v6, v7) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v7, v5) = v14 & sdtasdt0(v6, v5) = v13 & sdtasdt0(v5, v8) = v10 & sdtasdt0(v5, v7) = v12 & sdtasdt0(v5, v6) = v11 & sdtpldt0(v13, v14) = v9 & sdtpldt0(v11, v12) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v6, v7) = v8) | ~ (sdtasdt0(v5, v8) = v9) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : (sdtasdt0(v10, v7) = v9 & sdtasdt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtasdt0(v5, v8) = v9) | ~ (sdtpldt0(v6, v7) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (sdtasdt0(v8, v5) = v12 & sdtasdt0(v7, v5) = v14 & sdtasdt0(v6, v5) = v13 & sdtasdt0(v5, v7) = v11 & sdtasdt0(v5, v6) = v10 & sdtpldt0(v13, v14) = v12 & sdtpldt0(v10, v11) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ isPrime0(v7) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v6) | doDivides0(v7, v5) | ? [v10] : (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v11] : ( ~ (sdtasdt0(v7, v11) = v10) | ~ aNaturalNumber0(v11)))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ isPrime0(v7) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v6) | ? [v10] : ? [v11] : ((v11 = v5 & sdtasdt0(v7, v10) = v5 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v12] : ( ~ (sdtasdt0(v7, v12) = v10) | ~ aNaturalNumber0(v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ isPrime0(v7) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v7, v5) | ? [v10] : ? [v11] : ((v11 = v6 & sdtasdt0(v7, v10) = v6 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v12] : ( ~ (sdtasdt0(v7, v12) = v10) | ~ aNaturalNumber0(v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ isPrime0(v7) | ~ iLess0(v9, v1) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : ? [v11] : ((v11 = v6 & sdtasdt0(v7, v10) = v6 & aNaturalNumber0(v10)) | (v11 = v5 & sdtasdt0(v7, v10) = v5 & aNaturalNumber0(v10)) | (sdtasdt0(v5, v6) = v10 & ~ doDivides0(v7, v10) & ! [v12] : ( ~ (sdtasdt0(v7, v12) = v10) | ~ aNaturalNumber0(v12))))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v8, v7) = v9) | ~ (sdtpldt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : (sdtpldt0(v6, v7) = v10 & sdtpldt0(v5, v10) = v9)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (sdtpldt0(v6, v7) = v8) | ~ (sdtpldt0(v5, v8) = v9) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v10] : (sdtpldt0(v10, v7) = v9 & sdtpldt0(v5, v6) = v10)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v7 | v5 = sz00 | ~ (sdtsldt0(v6, v5) = v7) | ~ (sdtasdt0(v5, v8) = v6) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v8) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v7 | ~ (sdtmndt0(v6, v5) = v7) | ~ (sdtpldt0(v5, v8) = v6) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v8) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | v5 = sz00 | ~ (sdtsldt0(v6, v5) = v7) | ~ (sdtasdt0(v5, v7) = v8) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (sdtmndt0(v6, v5) = v7) | ~ (sdtpldt0(v5, v7) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v8) | ~ (sdtasdt0(v6, v5) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v7, v5) = v8) | ~ (sdtasdt0(v6, v5) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v5, v7) = v8) | ~ (sdtasdt0(v5, v6) = v8) | ~ sdtlseqdt0(v6, v7) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | v5 = sz00 | ~ (sdtasdt0(v5, v7) = v8) | ~ (sdtasdt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (sdtpldt0(v7, v5) = v8) | ~ (sdtpldt0(v6, v5) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v7 = v6 | ~ (sdtpldt0(v5, v7) = v8) | ~ (sdtpldt0(v5, v6) = v8) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtsldt0(v8, v7) = v6) | ~ (sdtsldt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtmndt0(v8, v7) = v6) | ~ (sdtmndt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtasdt0(v8, v7) = v6) | ~ (sdtasdt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v8, v7) = v6) | ~ (sdtpldt0(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v7, v6) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v9 = v8) & sdtpldt0(v7, v5) = v9 & sdtpldt0(v6, v7) = v11 & sdtpldt0(v5, v7) = v10 & sdtlseqdt0(v10, v11) & sdtlseqdt0(v9, v8))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v7, v5) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v10) & ~ (v9 = v8) & sdtpldt0(v7, v6) = v9 & sdtpldt0(v6, v7) = v11 & sdtpldt0(v5, v7) = v10 & sdtlseqdt0(v10, v11) & sdtlseqdt0(v8, v9))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v6, v7) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v8) & ~ (v10 = v9) & sdtpldt0(v7, v6) = v10 & sdtpldt0(v7, v5) = v9 & sdtpldt0(v5, v7) = v11 & sdtlseqdt0(v11, v8) & sdtlseqdt0(v9, v10))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (sdtpldt0(v5, v7) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v9] : ? [v10] : ? [v11] : ( ~ (v11 = v8) & ~ (v10 = v9) & sdtpldt0(v7, v6) = v10 & sdtpldt0(v7, v5) = v9 & sdtpldt0(v6, v7) = v11 & sdtlseqdt0(v9, v10) & sdtlseqdt0(v8, v11))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v5 = sz00 | ~ (sdtsldt0(v6, v5) = v7) | ~ (sdtasdt0(v5, v7) = v8) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | aNaturalNumber0(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtmndt0(v6, v5) = v7) | ~ (sdtpldt0(v5, v7) = v8) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | aNaturalNumber0(v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtpldt0(v6, v7) = v8) | ~ doDivides0(v5, v8) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (sdtpldt0(v6, v7) = v8) | ~ doDivides0(v5, v7) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v5, v8)) & ! [v5] : ! [v6] : ! [v7] : (v5 = sz00 | ~ (sdtasdt0(v6, v5) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v6, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v6, v5) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtasdt0(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v5, v7) = v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v5, v6) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtasdt0(v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtasdt0(v5, v6) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | aNaturalNumber0(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v6, v5) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtpldt0(v5, v6) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v5, v7) = v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v5, v6)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v5, v6) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtpldt0(v6, v5) = v7) & ! [v5] : ! [v6] : ! [v7] : ( ~ (sdtpldt0(v5, v6) = v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | aNaturalNumber0(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ doDivides0(v6, v7) | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | doDivides0(v5, v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ sdtlseqdt0(v6, v7) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v7) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v5, v7)) & ! [v5] : ! [v6] : (v6 = v5 | v6 = sz10 | ~ isPrime0(v5) | ~ doDivides0(v6, v5) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtasdt0(v5, sz10) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtasdt0(sz10, v5) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtpldt0(v5, sz00) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ (sdtpldt0(sz00, v5) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ sdtlseqdt0(v6, v5) | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = v5 | ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | iLess0(v5, v6)) & ! [v5] : ! [v6] : (v6 = sz00 | v5 = sz00 | ~ (sdtasdt0(v5, v6) = sz00) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = sz00 | ~ (sdtasdt0(v5, sz00) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = sz00 | ~ (sdtasdt0(sz00, v5) = v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = sz00 | ~ (sdtpldt0(v5, v6) = sz00) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v6 = sz00 | ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v5, v6)) & ! [v5] : ! [v6] : (v5 = xp | v5 = sz10 | ~ (sdtasdt0(v5, v6) = xp) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : (v5 = sz00 | ~ (sdtpldt0(v5, v6) = sz00) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5)) & ! [v5] : ! [v6] : ( ~ (sdtasdt0(v5, sz10) = v6) | ~ aNaturalNumber0(v5) | sdtasdt0(sz10, v5) = v5) & ! [v5] : ! [v6] : ( ~ (sdtasdt0(v5, sz00) = v6) | ~ aNaturalNumber0(v5) | sdtasdt0(sz00, v5) = sz00) & ! [v5] : ! [v6] : ( ~ (sdtasdt0(sz10, v5) = v6) | ~ aNaturalNumber0(v5) | sdtasdt0(v5, sz10) = v5) & ! [v5] : ! [v6] : ( ~ (sdtasdt0(sz00, v5) = v6) | ~ aNaturalNumber0(v5) | sdtasdt0(v5, sz00) = sz00) & ! [v5] : ! [v6] : ( ~ (sdtpldt0(v5, sz00) = v6) | ~ aNaturalNumber0(v5) | sdtpldt0(sz00, v5) = v5) & ! [v5] : ! [v6] : ( ~ (sdtpldt0(sz00, v5) = v6) | ~ aNaturalNumber0(v5) | sdtpldt0(v5, sz00) = v5) & ! [v5] : ! [v6] : ( ~ doDivides0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v7] : (sdtasdt0(v5, v7) = v6 & aNaturalNumber0(v7))) & ! [v5] : ! [v6] : ( ~ sdtlseqdt0(v5, v6) | ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | ? [v7] : (sdtpldt0(v5, v7) = v6 & aNaturalNumber0(v7))) & ! [v5] : ! [v6] : ( ~ aNaturalNumber0(v6) | ~ aNaturalNumber0(v5) | sdtlseqdt0(v6, v5) | sdtlseqdt0(v5, v6)) & ! [v5] : (v5 = xp | v5 = sz10 | ~ doDivides0(v5, xp) | ~ aNaturalNumber0(v5)) & ! [v5] : (v5 = sz10 | v5 = sz00 | ~ aNaturalNumber0(v5) | isPrime0(v5) | ? [v6] : ( ~ (v6 = v5) & ~ (v6 = sz10) & doDivides0(v6, v5) & aNaturalNumber0(v6))) & ! [v5] : (v5 = sz10 | v5 = sz00 | ~ aNaturalNumber0(v5) | sdtlseqdt0(sz10, v5)) & ! [v5] : (v5 = sz10 | v5 = sz00 | ~ aNaturalNumber0(v5) | ? [v6] : (isPrime0(v6) & doDivides0(v6, v5) & aNaturalNumber0(v6))) & ! [v5] : ( ~ aNaturalNumber0(v5) | sdtlseqdt0(v5, v5)) & (xr = xn | ( ~ sdtlseqdt0(xr, xn) & ! [v5] : ( ~ aNaturalNumber0(v5) | ? [v6] : ( ~ (v6 = xn) & sdtpldt0(xr, v5) = v6))))) % 111.44/80.97 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields: % 111.44/80.97 | (1) ~ (xp = sz10) & ~ (xp = sz00) & ~ (sz10 = sz00) & sdtmndt0(xn, xp) = xr & sdtasdt0(xp, all_0_0_0) = all_0_2_2 & sdtasdt0(xn, xm) = all_0_2_2 & sdtpldt0(all_0_4_4, xp) = all_0_3_3 & sdtpldt0(xp, all_0_1_1) = xn & sdtpldt0(xp, xr) = xn & sdtpldt0(xn, xm) = all_0_4_4 & isPrime0(xp) & doDivides0(xp, all_0_2_2) & sdtlseqdt0(xp, xn) & aNaturalNumber0(all_0_0_0) & aNaturalNumber0(all_0_1_1) & aNaturalNumber0(xr) & aNaturalNumber0(xp) & aNaturalNumber0(xm) & aNaturalNumber0(xn) & aNaturalNumber0(sz10) & aNaturalNumber0(sz00) & ~ isPrime0(sz10) & ~ isPrime0(sz00) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v1, v0) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v2) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) | ~ aNaturalNumber0(v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v3) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v1) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v0) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v1, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v3)) & ! [v0] : ! [v1] : ! [v2] : (v0 = sz00 | ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ doDivides0(v1, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ isPrime0(v0) | ~ doDivides0(v1, v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) & ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v1 = sz00 | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) & ! [v0] : ! [v1] : (v0 = xp | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xp) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0) & ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0) & ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0) & ! [v0] : ! [v1] : ( ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2))) & ! [v0] : ! [v1] : ( ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2))) & ! [v0] : ! [v1] : ( ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) & ! [v0] : (v0 = xp | v0 = sz10 | ~ doDivides0(v0, xp) | ~ aNaturalNumber0(v0)) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | isPrime0(v0) | ? [v1] : ( ~ (v1 = v0) & ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1))) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0)) & ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1))) & ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0)) & (xr = xn | ( ~ sdtlseqdt0(xr, xn) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = xn) & sdtpldt0(xr, v0) = v1)))) % 111.94/81.01 | % 111.94/81.01 | Applying alpha-rule on (1) yields: % 111.94/81.01 | (2) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v1, v0) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.01 | (3) sdtpldt0(xp, xr) = xn % 111.94/81.01 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5 & sdtlseqdt0(v5, v6))) % 111.94/81.01 | (5) ! [v0] : ( ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v0)) % 111.94/81.01 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.01 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v1) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v4, v3))) % 111.94/81.01 | (8) ! [v0] : (v0 = xp | v0 = sz10 | ~ doDivides0(v0, xp) | ~ aNaturalNumber0(v0)) % 111.94/81.01 | (9) sdtlseqdt0(xp, xn) % 111.94/81.01 | (10) ! [v0] : ! [v1] : ( ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtasdt0(v0, v2) = v1 & aNaturalNumber0(v2))) % 111.94/81.01 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v1, v0) = v5)) % 111.94/81.01 | (12) sdtpldt0(xn, xm) = all_0_4_4 % 111.94/81.01 | (13) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ((v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) % 111.94/81.02 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) % 111.94/81.02 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v1, v0) = v4) | ~ (sdtpldt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v0, v1) = v5)) % 111.94/81.02 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v3, v2) = v1) | ~ (sdtpldt0(v3, v2) = v0)) % 111.94/81.02 | (17) sdtpldt0(all_0_4_4, xp) = all_0_3_3 % 111.94/81.02 | (18) ~ (xp = sz10) % 111.94/81.02 | (19) ! [v0] : ! [v1] : (v1 = sz00 | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) % 111.94/81.02 | (20) aNaturalNumber0(xp) % 111.94/81.02 | (21) isPrime0(xp) % 111.94/81.02 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v1)) % 111.94/81.02 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v6] : ( ~ (sdtasdt0(v2, v6) = v5) | ~ aNaturalNumber0(v6)))) % 111.94/81.02 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) % 111.94/81.02 | (25) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v1, v0) = v2) % 111.94/81.02 | (26) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v1, v2) = v5 & sdtpldt0(v0, v5) = v4)) % 111.94/81.02 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v1, v2) = v3) | ~ (sdtasdt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v5, v2) = v4 & sdtasdt0(v0, v1) = v5)) % 111.94/81.02 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v5 & sdtasdt0(v0, v6) = v7 & sdtasdt0(v0, v2) = v9 & sdtasdt0(v0, v1) = v8 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) % 111.94/81.02 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v3) = v1) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (33) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5)) % 111.94/81.02 | (34) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | sdtlseqdt0(sz10, v0)) % 111.94/81.02 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ (sdtpldt0(v3, v4) = v5) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v6, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v6) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v1, v2) = v6)) % 111.94/81.02 | (36) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (37) ~ (xp = sz00) % 111.94/81.02 | (38) ! [v0] : ! [v1] : (v1 = v0 | v1 = sz10 | ~ isPrime0(v0) | ~ doDivides0(v1, v0) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.02 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v0) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v3) = v5 & sdtasdt0(v0, v2) = v7 & sdtasdt0(v0, v1) = v6 & sdtpldt0(v8, v9) = v4 & sdtpldt0(v6, v7) = v5)) % 111.94/81.03 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v3) | ~ (sdtasdt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.03 | (41) aNaturalNumber0(all_0_1_1) % 111.94/81.03 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) % 111.94/81.03 | (43) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) % 111.94/81.03 | (44) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz00, v0) = sz00) % 111.94/81.03 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v2) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtsldt0(v5, v0) = v4 & sdtasdt0(v3, v1) = v5)) % 111.94/81.03 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) % 111.94/81.03 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v3, v4)) % 111.94/81.03 | (48) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) % 111.94/81.03 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtasdt0(v3, v2) = v1) | ~ (sdtasdt0(v3, v2) = v0)) % 111.94/81.03 | (50) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.03 | (51) ~ isPrime0(sz00) % 111.94/81.03 | (52) aNaturalNumber0(sz10) % 111.94/81.03 | (53) sdtasdt0(xn, xm) = all_0_2_2 % 111.94/81.03 | (54) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v3) = v1) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.03 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v0, v2) = v6 & sdtpldt0(v0, v1) = v5)) % 111.94/81.03 | (56) sdtpldt0(xp, all_0_1_1) = xn % 111.94/81.03 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v0, v2) = v3) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.03 | (58) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v0, v3) = v4) | ~ (sdtpldt0(v1, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (sdtasdt0(v3, v0) = v7 & sdtasdt0(v2, v0) = v9 & sdtasdt0(v1, v0) = v8 & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtpldt0(v8, v9) = v7 & sdtpldt0(v5, v6) = v4)) % 111.94/81.03 | (59) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ (sdtpldt0(v0, v3) = v4) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtpldt0(v5, v2) = v4 & sdtpldt0(v0, v1) = v5)) % 111.94/81.03 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = sz00 | ~ (sdtsldt0(v4, v0) = v5) | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v3, v1) = v4) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v3) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v3, v2) = v5) % 111.94/81.03 | (61) ! [v0] : ! [v1] : ( ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v2] : (sdtpldt0(v0, v2) = v1 & aNaturalNumber0(v2))) % 111.94/81.03 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtpldt0(v2, v0) = v6 & sdtpldt0(v1, v0) = v5)) % 111.94/81.03 | (63) ! [v0] : ! [v1] : ( ~ (sdtpldt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(sz00, v0) = v0) % 111.94/81.03 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtpldt0(v1, v2) = v3) | ~ doDivides0(v0, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v3)) % 111.94/81.03 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5 & sdtlseqdt0(v6, v4) & sdtlseqdt0(v3, v5))) % 111.94/81.04 | (66) sdtmndt0(xn, xp) = xr % 111.94/81.04 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v2, v0) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v5) & ~ (v4 = v3) & sdtpldt0(v2, v1) = v4 & sdtpldt0(v1, v2) = v6 & sdtpldt0(v0, v2) = v5 & sdtlseqdt0(v5, v6) & sdtlseqdt0(v3, v4))) % 111.94/81.04 | (68) xr = xn | ( ~ sdtlseqdt0(xr, xn) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = xn) & sdtpldt0(xr, v0) = v1))) % 111.94/81.04 | (69) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) % 111.94/81.04 | (70) ~ isPrime0(sz10) % 111.94/81.04 | (71) ! [v0] : ! [v1] : ! [v2] : ( ~ sdtlseqdt0(v1, v2) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v0, v2)) % 111.94/81.04 | (72) ! [v0] : ! [v1] : ! [v2] : (v0 = sz00 | ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v2)) % 111.94/81.04 | (73) ! [v0] : ! [v1] : ( ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(sz10, v0) = v0) % 111.94/81.04 | (74) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (75) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | isPrime0(v0) | ? [v1] : ( ~ (v1 = v0) & ~ (v1 = sz10) & doDivides0(v1, v0) & aNaturalNumber0(v1))) % 111.94/81.04 | (76) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz10) = v0) % 111.94/81.04 | (77) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v0, v2) = v3) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtsldt0(v3, v2) = v1) | ~ (sdtsldt0(v3, v2) = v0)) % 111.94/81.04 | (79) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtpldt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, v1) = v2) % 111.94/81.04 | (80) ! [v0] : ! [v1] : (v1 = v0 | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | iLess0(v0, v1)) % 111.94/81.04 | (81) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(sz10, v0) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | v0 = sz00 | ~ (sdtsldt0(v1, v0) = v2) | ~ (sdtasdt0(v0, v2) = v3) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ doDivides0(v1, v2) | ~ doDivides0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v2)) % 111.94/81.04 | (84) ! [v0] : ! [v1] : ( ~ (sdtpldt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtpldt0(v0, sz00) = v0) % 111.94/81.04 | (85) ! [v0] : ! [v1] : (v1 = v0 | ~ (sdtasdt0(v0, sz10) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (86) sdtasdt0(xp, all_0_0_0) = all_0_2_2 % 111.94/81.04 | (87) ! [v0] : ! [v1] : (v0 = sz00 | ~ (sdtpldt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (88) ~ (sz10 = sz00) % 111.94/81.04 | (89) ! [v0] : ! [v1] : (v0 = xp | v0 = sz10 | ~ (sdtasdt0(v0, v1) = xp) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.04 | (90) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v2) = v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v0, v1)) % 111.94/81.04 | (91) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtmndt0(v3, v2) = v1) | ~ (sdtmndt0(v3, v2) = v0)) % 111.94/81.04 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) % 111.94/81.04 | (93) doDivides0(xp, all_0_2_2) % 111.94/81.04 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v1, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v0, v2) = v6 & sdtlseqdt0(v6, v3) & sdtlseqdt0(v4, v5))) % 111.94/81.04 | (95) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v1, v0) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, v1) = v2) % 111.94/81.05 | (96) ! [v0] : ! [v1] : ( ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtlseqdt0(v1, v0) | sdtlseqdt0(v0, v1)) % 111.94/81.05 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v4] : ? [v5] : ? [v6] : ( ~ (v6 = v3) & ~ (v5 = v4) & sdtpldt0(v2, v1) = v5 & sdtpldt0(v2, v0) = v4 & sdtpldt0(v1, v2) = v6 & sdtlseqdt0(v4, v5) & sdtlseqdt0(v3, v6))) % 111.94/81.05 | (98) ! [v0] : ! [v1] : (v1 = sz00 | v0 = sz00 | ~ (sdtasdt0(v0, v1) = sz00) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.05 | (99) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v3) | ~ (sdtpldt0(v1, v0) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0)) % 111.94/81.05 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtasdt0(v3, v2) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : (sdtasdt0(v1, v2) = v5 & sdtasdt0(v0, v5) = v4)) % 111.94/81.05 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5)) % 111.94/81.05 | (102) ! [v0] : ! [v1] : ( ~ (sdtasdt0(sz00, v0) = v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v0, sz00) = sz00) % 111.94/81.05 | (103) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ isPrime0(v2) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ((v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v7] : ( ~ (sdtasdt0(v2, v7) = v5) | ~ aNaturalNumber0(v7))))) % 111.94/81.05 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v1, v0) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v5) & sdtasdt0(v0, v2) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v6))) % 111.94/81.05 | (105) ! [v0] : ! [v1] : (v1 = sz00 | ~ (sdtasdt0(v0, sz00) = v1) | ~ aNaturalNumber0(v0)) % 111.94/81.05 | (106) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v1) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v0 & sdtasdt0(v2, v5) = v0 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) % 111.94/81.05 | (107) aNaturalNumber0(xm) % 111.94/81.05 | (108) aNaturalNumber0(sz00) % 111.94/81.05 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (sdtpldt0(v2, v0) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtpldt0(v1, v0) = v6 & sdtpldt0(v0, v2) = v5)) % 111.94/81.05 | (110) aNaturalNumber0(xr) % 111.94/81.05 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = sz10 | v2 = sz00 | ~ (sdtpldt0(v3, v2) = v4) | ~ (sdtpldt0(v0, v1) = v3) | ~ iLess0(v4, all_0_3_3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | doDivides0(v2, v0) | ? [v5] : ? [v6] : ? [v7] : ((v7 = v2 & ~ (v5 = v2) & ~ (v5 = sz10) & sdtasdt0(v5, v6) = v2 & doDivides0(v5, v2) & aNaturalNumber0(v6) & aNaturalNumber0(v5)) | (v6 = v1 & sdtasdt0(v2, v5) = v1 & aNaturalNumber0(v5)) | (sdtasdt0(v0, v1) = v5 & ~ doDivides0(v2, v5) & ! [v8] : ( ~ (sdtasdt0(v2, v8) = v5) | ~ aNaturalNumber0(v8))))) % 111.94/81.05 | (112) ! [v0] : ! [v1] : ! [v2] : ( ~ (sdtasdt0(v0, v1) = v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | sdtasdt0(v1, v0) = v2) % 111.94/81.05 | (113) aNaturalNumber0(xn) % 111.94/81.05 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v1, v0) = v4) | ~ (sdtasdt0(v0, v2) = v3) | ~ sdtlseqdt0(v1, v2) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v2, v0) = v6 & sdtasdt0(v0, v1) = v5 & sdtlseqdt0(v5, v3) & sdtlseqdt0(v4, v6))) % 111.94/81.05 | (115) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | v0 = sz00 | ~ (sdtasdt0(v2, v0) = v4) | ~ (sdtasdt0(v0, v1) = v3) | ~ aNaturalNumber0(v2) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | ? [v5] : ? [v6] : ( ~ (v6 = v4) & ~ (v5 = v3) & sdtasdt0(v1, v0) = v6 & sdtasdt0(v0, v2) = v5)) % 111.94/81.05 | (116) aNaturalNumber0(all_0_0_0) % 111.94/81.05 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (sdtmndt0(v1, v0) = v2) | ~ (sdtpldt0(v0, v2) = v3) | ~ sdtlseqdt0(v0, v1) | ~ aNaturalNumber0(v1) | ~ aNaturalNumber0(v0) | aNaturalNumber0(v2)) % 111.94/81.05 | (118) ! [v0] : (v0 = sz10 | v0 = sz00 | ~ aNaturalNumber0(v0) | ? [v1] : (isPrime0(v1) & doDivides0(v1, v0) & aNaturalNumber0(v1))) % 111.94/81.05 | % 111.94/81.05 | Instantiating formula (32) with all_0_1_1, xr, xn, xp and discharging atoms sdtmndt0(xn, xp) = xr, sdtpldt0(xp, all_0_1_1) = xn, sdtlseqdt0(xp, xn), aNaturalNumber0(all_0_1_1), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.05 | (119) all_0_1_1 = xr % 111.94/81.05 | % 111.94/81.05 | From (119) and (56) follows: % 111.94/81.05 | (3) sdtpldt0(xp, xr) = xn % 111.94/81.05 | % 111.94/81.05 | From (119) and (41) follows: % 111.94/81.05 | (110) aNaturalNumber0(xr) % 111.94/81.05 | % 111.94/81.05 | Instantiating formula (96) with all_0_0_0, all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), yields: % 111.94/81.05 | (122) sdtlseqdt0(all_0_0_0, all_0_0_0) % 111.94/81.05 | % 111.94/81.05 | Instantiating formula (34) with all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), yields: % 111.94/81.05 | (123) all_0_0_0 = sz10 | all_0_0_0 = sz00 | sdtlseqdt0(sz10, all_0_0_0) % 111.94/81.05 | % 111.94/81.05 | Instantiating formula (118) with all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), yields: % 111.94/81.05 | (124) all_0_0_0 = sz10 | all_0_0_0 = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_0_0_0) & aNaturalNumber0(v0)) % 111.94/81.05 | % 111.94/81.05 | Instantiating formula (96) with xr, all_0_0_0 and discharging atoms aNaturalNumber0(all_0_0_0), aNaturalNumber0(xr), yields: % 111.94/81.06 | (125) sdtlseqdt0(all_0_0_0, xr) | sdtlseqdt0(xr, all_0_0_0) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with xr, xr and discharging atoms aNaturalNumber0(xr), yields: % 111.94/81.06 | (126) sdtlseqdt0(xr, xr) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (118) with xr and discharging atoms aNaturalNumber0(xr), yields: % 111.94/81.06 | (127) xr = sz10 | xr = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (95) with all_0_2_2, xp, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 111.94/81.06 | (128) sdtasdt0(all_0_0_0, xp) = all_0_2_2 % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (79) with xn, xp, xr and discharging atoms sdtpldt0(xp, xr) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), yields: % 111.94/81.06 | (129) sdtpldt0(xr, xp) = xn % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with xp, xp and discharging atoms aNaturalNumber0(xp), yields: % 111.94/81.06 | (130) sdtlseqdt0(xp, xp) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (34) with xp and discharging atoms aNaturalNumber0(xp), yields: % 111.94/81.06 | (131) xp = sz10 | xp = sz00 | sdtlseqdt0(sz10, xp) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (118) with xp and discharging atoms aNaturalNumber0(xp), yields: % 111.94/81.06 | (132) xp = sz10 | xp = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (39) with all_0_2_2, xn, xr, xp, xm and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, sdtpldt0(xp, xr) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.06 | (133) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xr, xm) = v4 & sdtasdt0(xp, xm) = v3 & sdtasdt0(xm, xr) = v2 & sdtasdt0(xm, xp) = v1 & sdtasdt0(xm, xn) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (27) with all_0_4_4, xn, xm, xr, xp and discharging atoms sdtpldt0(xp, xr) = xn, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.06 | (134) ? [v0] : (sdtpldt0(xr, xm) = v0 & sdtpldt0(xp, v0) = all_0_4_4) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with xm, xm and discharging atoms aNaturalNumber0(xm), yields: % 111.94/81.06 | (135) sdtlseqdt0(xm, xm) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (34) with xm and discharging atoms aNaturalNumber0(xm), yields: % 111.94/81.06 | (136) xm = sz10 | xm = sz00 | sdtlseqdt0(sz10, xm) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (118) with xm and discharging atoms aNaturalNumber0(xm), yields: % 111.94/81.06 | (137) xm = sz10 | xm = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (95) with all_0_2_2, xn, xm and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (138) sdtasdt0(xm, xn) = all_0_2_2 % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (43) with all_0_2_2, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (139) aNaturalNumber0(all_0_2_2) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (27) with all_0_3_3, all_0_4_4, xp, xm, xn and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (140) ? [v0] : (sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, v0) = all_0_3_3) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (97) with xn, xr, xn, xp and discharging atoms sdtpldt0(xp, xr) = xn, sdtlseqdt0(xp, xn), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.06 | (141) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (94) with all_0_4_4, xm, xn, xp and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (142) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (79) with all_0_4_4, xn, xm and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (143) sdtpldt0(xm, xn) = all_0_4_4 % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (48) with all_0_4_4, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.06 | (144) aNaturalNumber0(all_0_4_4) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (61) with xn, xp and discharging atoms sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.06 | (145) ? [v0] : (sdtpldt0(xp, v0) = xn & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with xn, xn and discharging atoms aNaturalNumber0(xn), yields: % 111.94/81.06 | (146) sdtlseqdt0(xn, xn) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (118) with xn and discharging atoms aNaturalNumber0(xn), yields: % 111.94/81.06 | (147) xn = sz10 | xn = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz10, xm and discharging atoms aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 111.94/81.06 | (148) sdtlseqdt0(xm, sz10) | sdtlseqdt0(sz10, xm) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz10, sz10 and discharging atoms aNaturalNumber0(sz10), yields: % 111.94/81.06 | (149) sdtlseqdt0(sz10, sz10) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz00, xr and discharging atoms aNaturalNumber0(xr), aNaturalNumber0(sz00), yields: % 111.94/81.06 | (150) sdtlseqdt0(xr, sz00) | sdtlseqdt0(sz00, xr) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz00, xp and discharging atoms aNaturalNumber0(xp), aNaturalNumber0(sz00), yields: % 111.94/81.06 | (151) sdtlseqdt0(xp, sz00) | sdtlseqdt0(sz00, xp) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz00, xm and discharging atoms aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 111.94/81.06 | (152) sdtlseqdt0(xm, sz00) | sdtlseqdt0(sz00, xm) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz00, sz10 and discharging atoms aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 111.94/81.06 | (153) sdtlseqdt0(sz10, sz00) | sdtlseqdt0(sz00, sz10) % 111.94/81.06 | % 111.94/81.06 | Instantiating formula (96) with sz00, sz00 and discharging atoms aNaturalNumber0(sz00), yields: % 111.94/81.06 | (154) sdtlseqdt0(sz00, sz00) % 111.94/81.06 | % 111.94/81.06 | Instantiating (140) with all_13_0_5 yields: % 111.94/81.06 | (155) sdtpldt0(xm, xp) = all_13_0_5 & sdtpldt0(xn, all_13_0_5) = all_0_3_3 % 111.94/81.06 | % 111.94/81.06 | Applying alpha-rule on (155) yields: % 111.94/81.06 | (156) sdtpldt0(xm, xp) = all_13_0_5 % 111.94/81.06 | (157) sdtpldt0(xn, all_13_0_5) = all_0_3_3 % 111.94/81.06 | % 111.94/81.06 | Instantiating (133) with all_15_0_6, all_15_1_7, all_15_2_8, all_15_3_9, all_15_4_10 yields: % 111.94/81.06 | (158) sdtasdt0(xr, xm) = all_15_0_6 & sdtasdt0(xp, xm) = all_15_1_7 & sdtasdt0(xm, xr) = all_15_2_8 & sdtasdt0(xm, xp) = all_15_3_9 & sdtasdt0(xm, xn) = all_15_4_10 & sdtpldt0(all_15_1_7, all_15_0_6) = all_0_2_2 & sdtpldt0(all_15_3_9, all_15_2_8) = all_15_4_10 % 111.94/81.06 | % 111.94/81.06 | Applying alpha-rule on (158) yields: % 111.94/81.06 | (159) sdtasdt0(xm, xr) = all_15_2_8 % 111.94/81.06 | (160) sdtasdt0(xm, xn) = all_15_4_10 % 111.94/81.06 | (161) sdtpldt0(all_15_3_9, all_15_2_8) = all_15_4_10 % 111.94/81.06 | (162) sdtasdt0(xp, xm) = all_15_1_7 % 111.94/81.06 | (163) sdtpldt0(all_15_1_7, all_15_0_6) = all_0_2_2 % 111.94/81.06 | (164) sdtasdt0(xr, xm) = all_15_0_6 % 111.94/81.06 | (165) sdtasdt0(xm, xp) = all_15_3_9 % 111.94/81.06 | % 111.94/81.06 | Instantiating (134) with all_17_0_11 yields: % 111.94/81.06 | (166) sdtpldt0(xr, xm) = all_17_0_11 & sdtpldt0(xp, all_17_0_11) = all_0_4_4 % 111.94/81.06 | % 111.94/81.06 | Applying alpha-rule on (166) yields: % 111.94/81.06 | (167) sdtpldt0(xr, xm) = all_17_0_11 % 111.94/81.06 | (168) sdtpldt0(xp, all_17_0_11) = all_0_4_4 % 111.94/81.06 | % 111.94/81.06 | Instantiating (145) with all_19_0_12 yields: % 111.94/81.06 | (169) sdtpldt0(xp, all_19_0_12) = xn & aNaturalNumber0(all_19_0_12) % 111.94/81.06 | % 111.94/81.06 | Applying alpha-rule on (169) yields: % 111.94/81.06 | (170) sdtpldt0(xp, all_19_0_12) = xn % 111.94/81.06 | (171) aNaturalNumber0(all_19_0_12) % 111.94/81.06 | % 111.94/81.06 +-Applying beta-rule and splitting (131), into two cases. % 111.94/81.06 |-Branch one: % 111.94/81.06 | (172) sdtlseqdt0(sz10, xp) % 111.94/81.06 | % 111.94/81.06 +-Applying beta-rule and splitting (132), into two cases. % 111.94/81.06 |-Branch one: % 111.94/81.06 | (173) xp = sz00 % 111.94/81.06 | % 111.94/81.06 | Equations (173) can reduce 37 to: % 111.94/81.06 | (174) $false % 111.94/81.06 | % 111.94/81.06 |-The branch is then unsatisfiable % 111.94/81.06 |-Branch two: % 111.94/81.06 | (37) ~ (xp = sz00) % 111.94/81.06 | (176) xp = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0)) % 111.94/81.06 | % 111.94/81.06 +-Applying beta-rule and splitting (176), into two cases. % 111.94/81.06 |-Branch one: % 111.94/81.06 | (177) xp = sz10 % 111.94/81.06 | % 111.94/81.06 | Equations (177) can reduce 18 to: % 111.94/81.06 | (174) $false % 111.94/81.06 | % 111.94/81.06 |-The branch is then unsatisfiable % 111.94/81.06 |-Branch two: % 111.94/81.06 | (18) ~ (xp = sz10) % 111.94/81.07 | (180) ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0)) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (49) with xm, xn, all_0_2_2, all_15_4_10 and discharging atoms sdtasdt0(xm, xn) = all_15_4_10, sdtasdt0(xm, xn) = all_0_2_2, yields: % 111.94/81.07 | (181) all_15_4_10 = all_0_2_2 % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (77) with xn, xr, all_19_0_12, xp and discharging atoms sdtpldt0(xp, all_19_0_12) = xn, sdtpldt0(xp, xr) = xn, aNaturalNumber0(all_19_0_12), aNaturalNumber0(xr), aNaturalNumber0(xp), yields: % 111.94/81.07 | (182) all_19_0_12 = xr % 111.94/81.07 | % 111.94/81.07 | From (181) and (160) follows: % 111.94/81.07 | (138) sdtasdt0(xm, xn) = all_0_2_2 % 111.94/81.07 | % 111.94/81.07 | From (181) and (161) follows: % 111.94/81.07 | (184) sdtpldt0(all_15_3_9, all_15_2_8) = all_0_2_2 % 111.94/81.07 | % 111.94/81.07 | From (182) and (170) follows: % 111.94/81.07 | (3) sdtpldt0(xp, xr) = xn % 111.94/81.07 | % 111.94/81.07 | From (182) and (171) follows: % 111.94/81.07 | (110) aNaturalNumber0(xr) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (72) with all_0_2_2, all_0_0_0, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 111.94/81.07 | (187) xp = sz00 | sdtlseqdt0(all_0_0_0, all_0_2_2) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (95) with all_15_0_6, xr, xm and discharging atoms sdtasdt0(xr, xm) = all_15_0_6, aNaturalNumber0(xr), aNaturalNumber0(xm), yields: % 111.94/81.07 | (188) sdtasdt0(xm, xr) = all_15_0_6 % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (11) with all_0_2_2, all_15_1_7, all_0_0_0, xm, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (189) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xm, xp) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (104) with all_0_2_2, all_15_1_7, xn, xp, xm and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, sdtasdt0(xn, xm) = all_0_2_2, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (190) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (33) with all_0_2_2, all_15_1_7, xn, xp, xm and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (191) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (115) with all_0_2_2, all_15_1_7, all_0_0_0, xm, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (192) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_1_7) & sdtasdt0(xp, all_0_0_0) = v0 & sdtasdt0(xm, xp) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (33) with all_15_0_6, all_15_1_7, xr, xp, xm and discharging atoms sdtasdt0(xr, xm) = all_15_0_6, sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (193) xr = xp | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v1 & sdtasdt0(xm, xp) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (33) with all_15_1_7, all_15_0_6, xp, xr, xm and discharging atoms sdtasdt0(xr, xm) = all_15_0_6, sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (194) xr = xp | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (95) with all_15_1_7, xp, xm and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (195) sdtasdt0(xm, xp) = all_15_1_7 % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (43) with all_15_1_7, xm, xp and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (196) aNaturalNumber0(all_15_1_7) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (112) with all_15_2_8, xr, xm and discharging atoms sdtasdt0(xm, xr) = all_15_2_8, aNaturalNumber0(xr), aNaturalNumber0(xm), yields: % 111.94/81.07 | (197) sdtasdt0(xr, xm) = all_15_2_8 % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (43) with all_15_2_8, xr, xm and discharging atoms sdtasdt0(xm, xr) = all_15_2_8, aNaturalNumber0(xr), aNaturalNumber0(xm), yields: % 111.94/81.07 | (198) aNaturalNumber0(all_15_2_8) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (101) with all_15_3_9, all_0_2_2, all_0_0_0, xm, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (199) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_15_3_9) & ~ (v0 = all_0_2_2) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xp, xm) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (65) with all_0_2_2, all_15_3_9, xn, xp, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtasdt0(xn, xm) = all_0_2_2, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (200) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(all_15_3_9, v0)) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (101) with all_0_2_2, all_15_3_9, xp, xn, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (201) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (33) with all_0_2_2, all_15_3_9, all_0_0_0, xm, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (202) all_0_0_0 = xm | xp = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, all_0_0_0) = v1 & sdtasdt0(xp, xm) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (115) with all_15_0_6, all_15_3_9, xr, xp, xm and discharging atoms sdtasdt0(xr, xm) = all_15_0_6, sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (203) xr = xp | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (11) with all_15_2_8, all_15_3_9, xr, xp, xm and discharging atoms sdtasdt0(xm, xr) = all_15_2_8, sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (204) xr = xp | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v1 & sdtasdt0(xp, xm) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (11) with all_15_3_9, all_15_2_8, xp, xr, xm and discharging atoms sdtasdt0(xm, xr) = all_15_2_8, sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (205) xr = xp | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v0 & sdtasdt0(xp, xm) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (72) with all_15_3_9, xm, xp and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (206) xp = sz00 | sdtlseqdt0(xm, all_15_3_9) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (114) with all_15_1_7, all_0_2_2, xn, xp, xm and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, sdtasdt0(xm, xn) = all_0_2_2, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (207) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (115) with all_15_1_7, all_0_2_2, xp, xn, xm and discharging atoms sdtasdt0(xp, xm) = all_15_1_7, sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (208) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (4) with all_0_2_2, all_15_3_9, xn, xp, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtasdt0(xm, xn) = all_0_2_2, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (209) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (11) with all_0_2_2, all_15_3_9, xn, xp, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.07 | (210) xp = xn | xm = sz00 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (39) with all_0_2_2, xn, xp, xr, xm and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, sdtpldt0(xr, xp) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.07 | (211) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xr, xm) = v3 & sdtasdt0(xp, xm) = v4 & sdtasdt0(xm, xr) = v1 & sdtasdt0(xm, xp) = v2 & sdtasdt0(xm, xn) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 111.94/81.07 | % 111.94/81.07 | Instantiating formula (58) with all_0_2_2, xn, xp, xr, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtpldt0(xr, xp) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (212) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xr, xm) = v3 & sdtasdt0(xp, xm) = v4 & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1 & sdtasdt0(xn, xm) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (27) with all_0_4_4, xn, xm, xp, xr and discharging atoms sdtpldt0(xr, xp) = xn, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (213) ? [v0] : (sdtpldt0(xr, v0) = all_0_4_4 & sdtpldt0(xp, xm) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (67) with xn, xr, xn, xp and discharging atoms sdtpldt0(xr, xp) = xn, sdtlseqdt0(xp, xn), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.08 | (214) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, xn) = v0 & sdtpldt0(xp, xr) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (22) with xp, xn, xr and discharging atoms sdtpldt0(xr, xp) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.08 | (215) sdtlseqdt0(xr, xn) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (109) with xn, all_17_0_11, xp, xm, xr and discharging atoms sdtpldt0(xr, xm) = all_17_0_11, sdtpldt0(xp, xr) = xn, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (216) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_17_0_11) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xm, xr) = v1) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (62) with xn, all_17_0_11, xp, xm, xr and discharging atoms sdtpldt0(xr, xp) = xn, sdtpldt0(xr, xm) = all_17_0_11, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (217) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v1 & sdtpldt0(xm, xr) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (62) with all_17_0_11, xn, xm, xp, xr and discharging atoms sdtpldt0(xr, xp) = xn, sdtpldt0(xr, xm) = all_17_0_11, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (218) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v0 & sdtpldt0(xm, xr) = v1) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (79) with all_17_0_11, xr, xm and discharging atoms sdtpldt0(xr, xm) = all_17_0_11, aNaturalNumber0(xr), aNaturalNumber0(xm), yields: % 111.94/81.08 | (219) sdtpldt0(xm, xr) = all_17_0_11 % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (15) with all_0_4_4, all_13_0_5, xp, xn, xm and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (220) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (109) with all_17_0_11, all_13_0_5, xr, xp, xm and discharging atoms sdtpldt0(xr, xm) = all_17_0_11, sdtpldt0(xm, xp) = all_13_0_5, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (221) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_17_0_11) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xr) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (67) with all_13_0_5, xm, xn, xp and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (222) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (25) with all_13_0_5, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (223) sdtpldt0(xp, xm) = all_13_0_5 % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (48) with all_13_0_5, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (224) aNaturalNumber0(all_13_0_5) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (27) with all_0_3_3, all_0_4_4, xp, xn, xm and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (225) ? [v0] : (sdtpldt0(xm, v0) = all_0_3_3 & sdtpldt0(xn, xp) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (59) with all_0_4_4, xn, xr, xp, xm and discharging atoms sdtpldt0(xp, xr) = xn, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (226) ? [v0] : (sdtpldt0(v0, xr) = all_0_4_4 & sdtpldt0(xm, xp) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (59) with all_0_4_4, xn, xp, xr, xm and discharging atoms sdtpldt0(xr, xp) = xn, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 111.94/81.08 | (227) ? [v0] : (sdtpldt0(v0, xp) = all_0_4_4 & sdtpldt0(xm, xr) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (62) with all_13_0_5, all_0_4_4, xp, xn, xm and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (228) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xn, xm) = v0) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (62) with all_0_4_4, all_13_0_5, xn, xp, xm and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (229) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v0 & sdtpldt0(xn, xm) = v1) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (7) with all_0_4_4, xm, xn, xp and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (230) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with all_0_0_0, all_0_0_0 and discharging atoms sdtlseqdt0(all_0_0_0, all_0_0_0), aNaturalNumber0(all_0_0_0), yields: % 111.94/81.08 | (231) ? [v0] : (sdtpldt0(all_0_0_0, v0) = all_0_0_0 & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with xr, xr and discharging atoms sdtlseqdt0(xr, xr), aNaturalNumber0(xr), yields: % 111.94/81.08 | (232) ? [v0] : (sdtpldt0(xr, v0) = xr & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with xp, xp and discharging atoms sdtlseqdt0(xp, xp), aNaturalNumber0(xp), yields: % 111.94/81.08 | (233) ? [v0] : (sdtpldt0(xp, v0) = xp & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with xm, xm and discharging atoms sdtlseqdt0(xm, xm), aNaturalNumber0(xm), yields: % 111.94/81.08 | (234) ? [v0] : (sdtpldt0(xm, v0) = xm & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with xn, xn and discharging atoms sdtlseqdt0(xn, xn), aNaturalNumber0(xn), yields: % 111.94/81.08 | (235) ? [v0] : (sdtpldt0(xn, v0) = xn & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (94) with xn, xr, xp, sz10 and discharging atoms sdtpldt0(xp, xr) = xn, sdtlseqdt0(sz10, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (236) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v1 & sdtpldt0(xr, sz10) = v0 & sdtpldt0(sz10, xr) = v2 & sdtlseqdt0(v2, xn) & sdtlseqdt0(v0, v1)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (7) with xn, xr, xp, sz10 and discharging atoms sdtpldt0(xr, xp) = xn, sdtlseqdt0(sz10, xp), aNaturalNumber0(xr), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (237) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, sz10) = v0 & sdtpldt0(xp, xr) = v2 & sdtpldt0(sz10, xr) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, xn)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (7) with all_13_0_5, xm, xp, sz10 and discharging atoms sdtpldt0(xm, xp) = all_13_0_5, sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (238) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_13_0_5)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (71) with xn, xp, sz10 and discharging atoms sdtlseqdt0(xp, xn), sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (239) sdtlseqdt0(sz10, xn) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with xp, sz10 and discharging atoms sdtlseqdt0(sz10, xp), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (240) ? [v0] : (sdtpldt0(sz10, v0) = xp & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with sz10, sz10 and discharging atoms sdtlseqdt0(sz10, sz10), aNaturalNumber0(sz10), yields: % 111.94/81.08 | (241) ? [v0] : (sdtpldt0(sz10, v0) = sz10 & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (61) with sz00, sz00 and discharging atoms sdtlseqdt0(sz00, sz00), aNaturalNumber0(sz00), yields: % 111.94/81.08 | (242) ? [v0] : (sdtpldt0(sz00, v0) = sz00 & aNaturalNumber0(v0)) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (90) with xm, all_0_2_2, xn and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (243) doDivides0(xn, all_0_2_2) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (90) with xp, all_0_2_2, all_0_0_0 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), yields: % 111.94/81.08 | (244) doDivides0(all_0_0_0, all_0_2_2) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (90) with xn, all_0_2_2, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.08 | (245) doDivides0(xm, all_0_2_2) % 111.94/81.08 | % 111.94/81.08 | Instantiating formula (10) with all_0_2_2, xp and discharging atoms doDivides0(xp, all_0_2_2), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xp), yields: % 111.94/81.09 | (246) ? [v0] : (sdtasdt0(xp, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (96) with all_0_2_2, all_0_2_2 and discharging atoms aNaturalNumber0(all_0_2_2), yields: % 111.94/81.09 | (247) sdtlseqdt0(all_0_2_2, all_0_2_2) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (67) with all_0_3_3, all_0_4_4, xn, xp and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, sdtlseqdt0(xp, xn), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.09 | (248) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xp, all_0_4_4) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_3_3, v0)) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (7) with all_0_3_3, all_0_4_4, xp, sz10 and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 111.94/81.09 | (249) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xp, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_3_3)) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (79) with all_0_3_3, all_0_4_4, xp and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 111.94/81.09 | (250) sdtpldt0(xp, all_0_4_4) = all_0_3_3 % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (48) with all_0_3_3, xp, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_3_3, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 111.94/81.09 | (251) aNaturalNumber0(all_0_3_3) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (22) with xm, all_0_4_4, xn and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.09 | (252) sdtlseqdt0(xn, all_0_4_4) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (22) with xn, all_0_4_4, xm and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 111.94/81.09 | (253) sdtlseqdt0(xm, all_0_4_4) % 111.94/81.09 | % 111.94/81.09 | Instantiating formula (96) with all_0_4_4, all_0_4_4 and discharging atoms aNaturalNumber0(all_0_4_4), yields: % 111.94/81.09 | (254) sdtlseqdt0(all_0_4_4, all_0_4_4) % 111.94/81.09 | % 111.94/81.09 | Instantiating (235) with all_44_0_14 yields: % 111.94/81.09 | (255) sdtpldt0(xn, all_44_0_14) = xn & aNaturalNumber0(all_44_0_14) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (255) yields: % 111.94/81.09 | (256) sdtpldt0(xn, all_44_0_14) = xn % 111.94/81.09 | (257) aNaturalNumber0(all_44_0_14) % 111.94/81.09 | % 111.94/81.09 | Instantiating (233) with all_46_0_15 yields: % 111.94/81.09 | (258) sdtpldt0(xp, all_46_0_15) = xp & aNaturalNumber0(all_46_0_15) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (258) yields: % 111.94/81.09 | (259) sdtpldt0(xp, all_46_0_15) = xp % 111.94/81.09 | (260) aNaturalNumber0(all_46_0_15) % 111.94/81.09 | % 111.94/81.09 | Instantiating (242) with all_50_0_17 yields: % 111.94/81.09 | (261) sdtpldt0(sz00, all_50_0_17) = sz00 & aNaturalNumber0(all_50_0_17) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (261) yields: % 111.94/81.09 | (262) sdtpldt0(sz00, all_50_0_17) = sz00 % 111.94/81.09 | (263) aNaturalNumber0(all_50_0_17) % 111.94/81.09 | % 111.94/81.09 | Instantiating (240) with all_52_0_18 yields: % 111.94/81.09 | (264) sdtpldt0(sz10, all_52_0_18) = xp & aNaturalNumber0(all_52_0_18) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (264) yields: % 111.94/81.09 | (265) sdtpldt0(sz10, all_52_0_18) = xp % 111.94/81.09 | (266) aNaturalNumber0(all_52_0_18) % 111.94/81.09 | % 111.94/81.09 | Instantiating (241) with all_54_0_19 yields: % 111.94/81.09 | (267) sdtpldt0(sz10, all_54_0_19) = sz10 & aNaturalNumber0(all_54_0_19) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (267) yields: % 111.94/81.09 | (268) sdtpldt0(sz10, all_54_0_19) = sz10 % 111.94/81.09 | (269) aNaturalNumber0(all_54_0_19) % 111.94/81.09 | % 111.94/81.09 | Instantiating (231) with all_56_0_20 yields: % 111.94/81.09 | (270) sdtpldt0(all_0_0_0, all_56_0_20) = all_0_0_0 & aNaturalNumber0(all_56_0_20) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (270) yields: % 111.94/81.09 | (271) sdtpldt0(all_0_0_0, all_56_0_20) = all_0_0_0 % 111.94/81.09 | (272) aNaturalNumber0(all_56_0_20) % 111.94/81.09 | % 111.94/81.09 | Instantiating (234) with all_58_0_21 yields: % 111.94/81.09 | (273) sdtpldt0(xm, all_58_0_21) = xm & aNaturalNumber0(all_58_0_21) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (273) yields: % 111.94/81.09 | (274) sdtpldt0(xm, all_58_0_21) = xm % 111.94/81.09 | (275) aNaturalNumber0(all_58_0_21) % 111.94/81.09 | % 111.94/81.09 | Instantiating (246) with all_60_0_22 yields: % 111.94/81.09 | (276) sdtasdt0(xp, all_60_0_22) = all_0_2_2 & aNaturalNumber0(all_60_0_22) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (276) yields: % 111.94/81.09 | (277) sdtasdt0(xp, all_60_0_22) = all_0_2_2 % 111.94/81.09 | (278) aNaturalNumber0(all_60_0_22) % 111.94/81.09 | % 111.94/81.09 | Instantiating (213) with all_62_0_23 yields: % 111.94/81.09 | (279) sdtpldt0(xr, all_62_0_23) = all_0_4_4 & sdtpldt0(xp, xm) = all_62_0_23 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (279) yields: % 111.94/81.09 | (280) sdtpldt0(xr, all_62_0_23) = all_0_4_4 % 111.94/81.09 | (281) sdtpldt0(xp, xm) = all_62_0_23 % 111.94/81.09 | % 111.94/81.09 | Instantiating (212) with all_64_0_24, all_64_1_25, all_64_2_26, all_64_3_27, all_64_4_28 yields: % 111.94/81.09 | (282) sdtasdt0(xr, xm) = all_64_1_25 & sdtasdt0(xp, xm) = all_64_0_24 & sdtasdt0(xm, xr) = all_64_4_28 & sdtasdt0(xm, xp) = all_64_3_27 & sdtasdt0(xn, xm) = all_64_2_26 & sdtpldt0(all_64_1_25, all_64_0_24) = all_64_2_26 & sdtpldt0(all_64_4_28, all_64_3_27) = all_0_2_2 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (282) yields: % 111.94/81.09 | (283) sdtasdt0(xm, xp) = all_64_3_27 % 111.94/81.09 | (284) sdtasdt0(xr, xm) = all_64_1_25 % 111.94/81.09 | (285) sdtasdt0(xn, xm) = all_64_2_26 % 111.94/81.09 | (286) sdtasdt0(xp, xm) = all_64_0_24 % 111.94/81.09 | (287) sdtpldt0(all_64_4_28, all_64_3_27) = all_0_2_2 % 111.94/81.09 | (288) sdtpldt0(all_64_1_25, all_64_0_24) = all_64_2_26 % 111.94/81.09 | (289) sdtasdt0(xm, xr) = all_64_4_28 % 111.94/81.09 | % 111.94/81.09 | Instantiating (227) with all_66_0_29 yields: % 111.94/81.09 | (290) sdtpldt0(all_66_0_29, xp) = all_0_4_4 & sdtpldt0(xm, xr) = all_66_0_29 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (290) yields: % 111.94/81.09 | (291) sdtpldt0(all_66_0_29, xp) = all_0_4_4 % 111.94/81.09 | (292) sdtpldt0(xm, xr) = all_66_0_29 % 111.94/81.09 | % 111.94/81.09 | Instantiating (232) with all_68_0_30 yields: % 111.94/81.09 | (293) sdtpldt0(xr, all_68_0_30) = xr & aNaturalNumber0(all_68_0_30) % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (293) yields: % 111.94/81.09 | (294) sdtpldt0(xr, all_68_0_30) = xr % 111.94/81.09 | (295) aNaturalNumber0(all_68_0_30) % 111.94/81.09 | % 111.94/81.09 | Instantiating (226) with all_70_0_31 yields: % 111.94/81.09 | (296) sdtpldt0(all_70_0_31, xr) = all_0_4_4 & sdtpldt0(xm, xp) = all_70_0_31 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (296) yields: % 111.94/81.09 | (297) sdtpldt0(all_70_0_31, xr) = all_0_4_4 % 111.94/81.09 | (298) sdtpldt0(xm, xp) = all_70_0_31 % 111.94/81.09 | % 111.94/81.09 | Instantiating (211) with all_72_0_32, all_72_1_33, all_72_2_34, all_72_3_35, all_72_4_36 yields: % 111.94/81.09 | (299) sdtasdt0(xr, xm) = all_72_1_33 & sdtasdt0(xp, xm) = all_72_0_32 & sdtasdt0(xm, xr) = all_72_3_35 & sdtasdt0(xm, xp) = all_72_2_34 & sdtasdt0(xm, xn) = all_72_4_36 & sdtpldt0(all_72_1_33, all_72_0_32) = all_0_2_2 & sdtpldt0(all_72_3_35, all_72_2_34) = all_72_4_36 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (299) yields: % 111.94/81.09 | (300) sdtpldt0(all_72_1_33, all_72_0_32) = all_0_2_2 % 111.94/81.09 | (301) sdtasdt0(xp, xm) = all_72_0_32 % 111.94/81.09 | (302) sdtasdt0(xm, xp) = all_72_2_34 % 111.94/81.09 | (303) sdtasdt0(xm, xr) = all_72_3_35 % 111.94/81.09 | (304) sdtpldt0(all_72_3_35, all_72_2_34) = all_72_4_36 % 111.94/81.09 | (305) sdtasdt0(xr, xm) = all_72_1_33 % 111.94/81.09 | (306) sdtasdt0(xm, xn) = all_72_4_36 % 111.94/81.09 | % 111.94/81.09 | Instantiating (225) with all_74_0_37 yields: % 111.94/81.09 | (307) sdtpldt0(xm, all_74_0_37) = all_0_3_3 & sdtpldt0(xn, xp) = all_74_0_37 % 111.94/81.09 | % 111.94/81.09 | Applying alpha-rule on (307) yields: % 111.94/81.09 | (308) sdtpldt0(xm, all_74_0_37) = all_0_3_3 % 111.94/81.09 | (309) sdtpldt0(xn, xp) = all_74_0_37 % 111.94/81.09 | % 111.94/81.09 +-Applying beta-rule and splitting (68), into two cases. % 111.94/81.09 |-Branch one: % 111.94/81.09 | (310) xr = xn % 111.94/81.09 | % 111.94/81.09 | From (310) and (164) follows: % 111.94/81.09 | (311) sdtasdt0(xn, xm) = all_15_0_6 % 111.94/81.09 | % 111.94/81.09 | From (310) and (197) follows: % 111.94/81.09 | (312) sdtasdt0(xn, xm) = all_15_2_8 % 111.94/81.09 | % 111.94/81.09 | From (310) and (289) follows: % 111.94/81.09 | (313) sdtasdt0(xm, xn) = all_64_4_28 % 111.94/81.09 | % 111.94/81.09 | From (310) and (188) follows: % 111.94/81.09 | (314) sdtasdt0(xm, xn) = all_15_0_6 % 111.94/81.09 | % 111.94/81.09 | From (310) and (159) follows: % 111.94/81.09 | (315) sdtasdt0(xm, xn) = all_15_2_8 % 111.94/81.09 | % 111.94/81.09 | From (310)(310) and (294) follows: % 111.94/81.09 | (316) sdtpldt0(xn, all_68_0_30) = xn % 111.94/81.09 | % 111.94/81.09 | From (310) and (280) follows: % 111.94/81.09 | (317) sdtpldt0(xn, all_62_0_23) = all_0_4_4 % 111.94/81.09 | % 111.94/81.09 | From (310) and (129) follows: % 111.94/81.09 | (318) sdtpldt0(xn, xp) = xn % 111.94/81.09 | % 111.94/81.09 | From (310) and (167) follows: % 111.94/81.09 | (319) sdtpldt0(xn, xm) = all_17_0_11 % 111.94/81.09 | % 111.94/81.09 | From (310) and (3) follows: % 111.94/81.09 | (320) sdtpldt0(xp, xn) = xn % 111.94/81.09 | % 111.94/81.09 | From (310) and (292) follows: % 111.94/81.09 | (321) sdtpldt0(xm, xn) = all_66_0_29 % 111.94/81.09 | % 111.94/81.09 | From (310) and (219) follows: % 111.94/81.09 | (322) sdtpldt0(xm, xn) = all_17_0_11 % 111.94/81.09 | % 111.94/81.09 | From (310) and (110) follows: % 111.94/81.09 | (113) aNaturalNumber0(xn) % 111.94/81.09 | % 111.94/81.09 +-Applying beta-rule and splitting (236), into two cases. % 111.94/81.09 |-Branch one: % 111.94/81.09 | (177) xp = sz10 % 111.94/81.09 | % 111.94/81.09 | Equations (177) can reduce 18 to: % 111.94/81.09 | (174) $false % 111.94/81.09 | % 111.94/81.09 |-The branch is then unsatisfiable % 111.94/81.09 |-Branch two: % 111.94/81.09 | (18) ~ (xp = sz10) % 111.94/81.09 | (327) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v1 & sdtpldt0(xr, sz10) = v0 & sdtpldt0(sz10, xr) = v2 & sdtlseqdt0(v2, xn) & sdtlseqdt0(v0, v1)) % 111.94/81.09 | % 111.94/81.09 | Instantiating (327) with all_83_0_38, all_83_1_39, all_83_2_40 yields: % 111.94/81.10 | (328) ~ (all_83_0_38 = xn) & ~ (all_83_1_39 = all_83_2_40) & sdtpldt0(xr, xp) = all_83_1_39 & sdtpldt0(xr, sz10) = all_83_2_40 & sdtpldt0(sz10, xr) = all_83_0_38 & sdtlseqdt0(all_83_0_38, xn) & sdtlseqdt0(all_83_2_40, all_83_1_39) % 111.94/81.10 | % 111.94/81.10 | Applying alpha-rule on (328) yields: % 111.94/81.10 | (329) sdtpldt0(sz10, xr) = all_83_0_38 % 111.94/81.10 | (330) ~ (all_83_1_39 = all_83_2_40) % 111.94/81.10 | (331) sdtpldt0(xr, xp) = all_83_1_39 % 111.94/81.10 | (332) sdtlseqdt0(all_83_2_40, all_83_1_39) % 111.94/81.10 | (333) ~ (all_83_0_38 = xn) % 111.94/81.10 | (334) sdtlseqdt0(all_83_0_38, xn) % 111.94/81.10 | (335) sdtpldt0(xr, sz10) = all_83_2_40 % 111.94/81.10 | % 111.94/81.10 | From (310) and (331) follows: % 111.94/81.10 | (336) sdtpldt0(xn, xp) = all_83_1_39 % 111.94/81.10 | % 111.94/81.10 | From (310) and (335) follows: % 111.94/81.10 | (337) sdtpldt0(xn, sz10) = all_83_2_40 % 111.94/81.10 | % 111.94/81.10 | From (310) and (329) follows: % 111.94/81.10 | (338) sdtpldt0(sz10, xn) = all_83_0_38 % 111.94/81.10 | % 111.94/81.10 +-Applying beta-rule and splitting (237), into two cases. % 111.94/81.10 |-Branch one: % 111.94/81.10 | (177) xp = sz10 % 111.94/81.10 | % 111.94/81.10 | Equations (177) can reduce 18 to: % 111.94/81.10 | (174) $false % 111.94/81.10 | % 111.94/81.10 |-The branch is then unsatisfiable % 111.94/81.10 |-Branch two: % 111.94/81.10 | (18) ~ (xp = sz10) % 111.94/81.10 | (342) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, sz10) = v0 & sdtpldt0(xp, xr) = v2 & sdtpldt0(sz10, xr) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, xn)) % 111.94/81.10 | % 111.94/81.10 | Instantiating (342) with all_88_0_41, all_88_1_42, all_88_2_43 yields: % 111.94/81.10 | (343) ~ (all_88_0_41 = all_88_1_42) & ~ (all_88_2_43 = xn) & sdtpldt0(xr, sz10) = all_88_2_43 & sdtpldt0(xp, xr) = all_88_0_41 & sdtpldt0(sz10, xr) = all_88_1_42 & sdtlseqdt0(all_88_1_42, all_88_0_41) & sdtlseqdt0(all_88_2_43, xn) % 111.94/81.10 | % 111.94/81.10 | Applying alpha-rule on (343) yields: % 111.94/81.10 | (344) sdtlseqdt0(all_88_1_42, all_88_0_41) % 111.94/81.10 | (345) sdtpldt0(sz10, xr) = all_88_1_42 % 111.94/81.10 | (346) sdtpldt0(xr, sz10) = all_88_2_43 % 111.94/81.10 | (347) ~ (all_88_2_43 = xn) % 111.94/81.10 | (348) sdtpldt0(xp, xr) = all_88_0_41 % 111.94/81.10 | (349) sdtlseqdt0(all_88_2_43, xn) % 111.94/81.10 | (350) ~ (all_88_0_41 = all_88_1_42) % 111.94/81.10 | % 111.94/81.10 | From (310) and (346) follows: % 111.94/81.10 | (351) sdtpldt0(xn, sz10) = all_88_2_43 % 111.94/81.10 | % 111.94/81.10 | From (310) and (348) follows: % 111.94/81.10 | (352) sdtpldt0(xp, xn) = all_88_0_41 % 111.94/81.10 | % 111.94/81.10 | From (310) and (345) follows: % 111.94/81.10 | (353) sdtpldt0(sz10, xn) = all_88_1_42 % 111.94/81.10 | % 111.94/81.10 +-Applying beta-rule and splitting (206), into two cases. % 111.94/81.10 |-Branch one: % 111.94/81.10 | (354) sdtlseqdt0(xm, all_15_3_9) % 111.94/81.10 | % 111.94/81.10 +-Applying beta-rule and splitting (249), into two cases. % 111.94/81.10 |-Branch one: % 111.94/81.10 | (177) xp = sz10 % 111.94/81.10 | % 111.94/81.10 | Equations (177) can reduce 18 to: % 111.94/81.10 | (174) $false % 111.94/81.10 | % 111.94/81.10 |-The branch is then unsatisfiable % 111.94/81.10 |-Branch two: % 111.94/81.10 | (18) ~ (xp = sz10) % 111.94/81.10 | (358) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xp, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_3_3)) % 111.94/81.10 | % 111.94/81.10 | Instantiating (358) with all_97_0_44, all_97_1_45, all_97_2_46 yields: % 111.94/81.10 | (359) ~ (all_97_0_44 = all_97_1_45) & ~ (all_97_2_46 = all_0_3_3) & sdtpldt0(all_0_4_4, sz10) = all_97_2_46 & sdtpldt0(xp, all_0_4_4) = all_97_0_44 & sdtpldt0(sz10, all_0_4_4) = all_97_1_45 & sdtlseqdt0(all_97_1_45, all_97_0_44) & sdtlseqdt0(all_97_2_46, all_0_3_3) % 111.94/81.10 | % 111.94/81.10 | Applying alpha-rule on (359) yields: % 111.94/81.10 | (360) ~ (all_97_2_46 = all_0_3_3) % 111.94/81.10 | (361) sdtlseqdt0(all_97_2_46, all_0_3_3) % 111.94/81.10 | (362) ~ (all_97_0_44 = all_97_1_45) % 111.94/81.10 | (363) sdtpldt0(all_0_4_4, sz10) = all_97_2_46 % 111.94/81.10 | (364) sdtpldt0(sz10, all_0_4_4) = all_97_1_45 % 111.94/81.10 | (365) sdtlseqdt0(all_97_1_45, all_97_0_44) % 111.94/81.10 | (366) sdtpldt0(xp, all_0_4_4) = all_97_0_44 % 111.94/81.10 | % 111.94/81.10 +-Applying beta-rule and splitting (238), into two cases. % 111.94/81.10 |-Branch one: % 111.94/81.10 | (177) xp = sz10 % 111.94/81.10 | % 111.94/81.10 | Equations (177) can reduce 18 to: % 111.94/81.10 | (174) $false % 111.94/81.10 | % 111.94/81.10 |-The branch is then unsatisfiable % 111.94/81.10 |-Branch two: % 111.94/81.10 | (18) ~ (xp = sz10) % 111.94/81.10 | (370) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_13_0_5)) % 111.94/81.10 | % 111.94/81.10 | Instantiating (370) with all_102_0_47, all_102_1_48, all_102_2_49 yields: % 111.94/81.10 | (371) ~ (all_102_0_47 = all_102_1_48) & ~ (all_102_2_49 = all_13_0_5) & sdtpldt0(xp, xm) = all_102_0_47 & sdtpldt0(xm, sz10) = all_102_2_49 & sdtpldt0(sz10, xm) = all_102_1_48 & sdtlseqdt0(all_102_1_48, all_102_0_47) & sdtlseqdt0(all_102_2_49, all_13_0_5) % 111.94/81.10 | % 111.94/81.10 | Applying alpha-rule on (371) yields: % 111.94/81.10 | (372) sdtlseqdt0(all_102_1_48, all_102_0_47) % 111.94/81.10 | (373) ~ (all_102_2_49 = all_13_0_5) % 111.94/81.10 | (374) sdtlseqdt0(all_102_2_49, all_13_0_5) % 111.94/81.10 | (375) sdtpldt0(sz10, xm) = all_102_1_48 % 111.94/81.10 | (376) sdtpldt0(xm, sz10) = all_102_2_49 % 111.94/81.10 | (377) sdtpldt0(xp, xm) = all_102_0_47 % 111.94/81.10 | (378) ~ (all_102_0_47 = all_102_1_48) % 111.94/81.10 | % 111.94/81.10 +-Applying beta-rule and splitting (187), into two cases. % 111.94/81.10 |-Branch one: % 111.94/81.10 | (379) sdtlseqdt0(all_0_0_0, all_0_2_2) % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xm, xp, all_72_2_34, all_15_3_9 and discharging atoms sdtasdt0(xm, xp) = all_72_2_34, sdtasdt0(xm, xp) = all_15_3_9, yields: % 111.94/81.10 | (380) all_72_2_34 = all_15_3_9 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xm, xp, all_64_3_27, all_72_2_34 and discharging atoms sdtasdt0(xm, xp) = all_72_2_34, sdtasdt0(xm, xp) = all_64_3_27, yields: % 111.94/81.10 | (381) all_72_2_34 = all_64_3_27 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xm, xp, all_15_1_7, all_64_3_27 and discharging atoms sdtasdt0(xm, xp) = all_64_3_27, sdtasdt0(xm, xp) = all_15_1_7, yields: % 111.94/81.10 | (382) all_64_3_27 = all_15_1_7 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xm, xn, all_15_0_6, all_64_4_28 and discharging atoms sdtasdt0(xm, xn) = all_64_4_28, sdtasdt0(xm, xn) = all_15_0_6, yields: % 111.94/81.10 | (383) all_64_4_28 = all_15_0_6 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xm, xn, all_15_2_8, all_64_4_28 and discharging atoms sdtasdt0(xm, xn) = all_64_4_28, sdtasdt0(xm, xn) = all_15_2_8, yields: % 111.94/81.10 | (384) all_64_4_28 = all_15_2_8 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xn, xm, all_64_2_26, all_0_2_2 and discharging atoms sdtasdt0(xn, xm) = all_64_2_26, sdtasdt0(xn, xm) = all_0_2_2, yields: % 111.94/81.10 | (385) all_64_2_26 = all_0_2_2 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (49) with xn, xm, all_15_0_6, all_64_2_26 and discharging atoms sdtasdt0(xn, xm) = all_64_2_26, sdtasdt0(xn, xm) = all_15_0_6, yields: % 111.94/81.10 | (386) all_64_2_26 = all_15_0_6 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xp, all_0_4_4, all_0_3_3, all_97_0_44 and discharging atoms sdtpldt0(xp, all_0_4_4) = all_97_0_44, sdtpldt0(xp, all_0_4_4) = all_0_3_3, yields: % 111.94/81.10 | (387) all_97_0_44 = all_0_3_3 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xp, xm, all_62_0_23, all_102_0_47 and discharging atoms sdtpldt0(xp, xm) = all_102_0_47, sdtpldt0(xp, xm) = all_62_0_23, yields: % 111.94/81.10 | (388) all_102_0_47 = all_62_0_23 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xp, xm, all_13_0_5, all_102_0_47 and discharging atoms sdtpldt0(xp, xm) = all_102_0_47, sdtpldt0(xp, xm) = all_13_0_5, yields: % 111.94/81.10 | (389) all_102_0_47 = all_13_0_5 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xp, xn, xn, all_88_0_41 and discharging atoms sdtpldt0(xp, xn) = all_88_0_41, sdtpldt0(xp, xn) = xn, yields: % 111.94/81.10 | (390) all_88_0_41 = xn % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xm, xp, all_70_0_31, all_13_0_5 and discharging atoms sdtpldt0(xm, xp) = all_70_0_31, sdtpldt0(xm, xp) = all_13_0_5, yields: % 111.94/81.10 | (391) all_70_0_31 = all_13_0_5 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xm, xn, all_66_0_29, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_66_0_29, sdtpldt0(xm, xn) = all_0_4_4, yields: % 111.94/81.10 | (392) all_66_0_29 = all_0_4_4 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xm, xn, all_17_0_11, all_66_0_29 and discharging atoms sdtpldt0(xm, xn) = all_66_0_29, sdtpldt0(xm, xn) = all_17_0_11, yields: % 111.94/81.10 | (393) all_66_0_29 = all_17_0_11 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xn, xp, all_74_0_37, all_83_1_39 and discharging atoms sdtpldt0(xn, xp) = all_83_1_39, sdtpldt0(xn, xp) = all_74_0_37, yields: % 111.94/81.10 | (394) all_83_1_39 = all_74_0_37 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xn, xp, xn, all_83_1_39 and discharging atoms sdtpldt0(xn, xp) = all_83_1_39, sdtpldt0(xn, xp) = xn, yields: % 111.94/81.10 | (395) all_83_1_39 = xn % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with xn, sz10, all_83_2_40, all_88_2_43 and discharging atoms sdtpldt0(xn, sz10) = all_88_2_43, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 111.94/81.10 | (396) all_88_2_43 = all_83_2_40 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (16) with sz10, xn, all_83_0_38, all_88_1_42 and discharging atoms sdtpldt0(sz10, xn) = all_88_1_42, sdtpldt0(sz10, xn) = all_83_0_38, yields: % 111.94/81.10 | (397) all_88_1_42 = all_83_0_38 % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (77) with xn, all_68_0_30, xp, xn and discharging atoms sdtpldt0(xn, all_68_0_30) = xn, sdtpldt0(xn, xp) = xn, aNaturalNumber0(all_68_0_30), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 111.94/81.10 | (398) all_68_0_30 = xp % 111.94/81.10 | % 111.94/81.10 | Instantiating formula (29) with all_0_2_2, all_0_0_0, all_60_0_22, xp and discharging atoms sdtasdt0(xp, all_60_0_22) = all_0_2_2, sdtasdt0(xp, all_0_0_0) = all_0_2_2, aNaturalNumber0(all_60_0_22), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.43/81.10 | (399) all_60_0_22 = all_0_0_0 | xp = sz00 % 112.43/81.10 | % 112.43/81.10 | Instantiating formula (50) with sz00, all_50_0_17 and discharging atoms sdtpldt0(sz00, all_50_0_17) = sz00, aNaturalNumber0(all_50_0_17), yields: % 112.43/81.10 | (400) all_50_0_17 = sz00 % 112.43/81.10 | % 112.43/81.10 | Instantiating formula (77) with xn, all_68_0_30, all_44_0_14, xn and discharging atoms sdtpldt0(xn, all_68_0_30) = xn, sdtpldt0(xn, all_44_0_14) = xn, aNaturalNumber0(all_68_0_30), aNaturalNumber0(all_44_0_14), aNaturalNumber0(xn), yields: % 112.43/81.10 | (401) all_68_0_30 = all_44_0_14 % 112.43/81.10 | % 112.43/81.11 | Combining equations (388,389) yields a new equation: % 112.43/81.11 | (402) all_62_0_23 = all_13_0_5 % 112.43/81.11 | % 112.43/81.11 | Simplifying 402 yields: % 112.43/81.11 | (403) all_62_0_23 = all_13_0_5 % 112.43/81.11 | % 112.43/81.11 | Combining equations (395,394) yields a new equation: % 112.43/81.11 | (404) all_74_0_37 = xn % 112.43/81.11 | % 112.43/81.11 | Combining equations (381,380) yields a new equation: % 112.43/81.11 | (405) all_64_3_27 = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | Simplifying 405 yields: % 112.43/81.11 | (406) all_64_3_27 = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | Combining equations (398,401) yields a new equation: % 112.43/81.11 | (407) all_44_0_14 = xp % 112.43/81.11 | % 112.43/81.11 | Combining equations (392,393) yields a new equation: % 112.43/81.11 | (408) all_17_0_11 = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | Combining equations (385,386) yields a new equation: % 112.43/81.11 | (409) all_15_0_6 = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | Combining equations (382,406) yields a new equation: % 112.43/81.11 | (410) all_15_1_7 = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | Simplifying 410 yields: % 112.43/81.11 | (411) all_15_1_7 = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | Combining equations (383,384) yields a new equation: % 112.43/81.11 | (412) all_15_0_6 = all_15_2_8 % 112.43/81.11 | % 112.43/81.11 | Simplifying 412 yields: % 112.43/81.11 | (413) all_15_0_6 = all_15_2_8 % 112.43/81.11 | % 112.43/81.11 | Combining equations (409,413) yields a new equation: % 112.43/81.11 | (414) all_15_2_8 = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | Combining equations (414,384) yields a new equation: % 112.43/81.11 | (415) all_64_4_28 = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | Equations (390,397) can reduce 350 to: % 112.43/81.11 | (416) ~ (all_83_0_38 = xn) % 112.43/81.11 | % 112.43/81.11 | Simplifying 416 yields: % 112.43/81.11 | (333) ~ (all_83_0_38 = xn) % 112.43/81.11 | % 112.43/81.11 | From (411) and (162) follows: % 112.43/81.11 | (418) sdtasdt0(xp, xm) = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | From (411) and (195) follows: % 112.43/81.11 | (165) sdtasdt0(xm, xp) = all_15_3_9 % 112.43/81.11 | % 112.43/81.11 | From (414) and (315) follows: % 112.43/81.11 | (138) sdtasdt0(xm, xn) = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | From (414) and (312) follows: % 112.43/81.11 | (53) sdtasdt0(xn, xm) = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | From (415)(406) and (287) follows: % 112.43/81.11 | (422) sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | From (414) and (184) follows: % 112.43/81.11 | (423) sdtpldt0(all_15_3_9, all_0_2_2) = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | From (387) and (366) follows: % 112.43/81.11 | (250) sdtpldt0(xp, all_0_4_4) = all_0_3_3 % 112.43/81.11 | % 112.43/81.11 | From (403) and (281) follows: % 112.43/81.11 | (223) sdtpldt0(xp, xm) = all_13_0_5 % 112.43/81.11 | % 112.43/81.11 | From (390) and (352) follows: % 112.43/81.11 | (320) sdtpldt0(xp, xn) = xn % 112.43/81.11 | % 112.43/81.11 | From (404) and (308) follows: % 112.43/81.11 | (427) sdtpldt0(xm, xn) = all_0_3_3 % 112.43/81.11 | % 112.43/81.11 | From (391) and (298) follows: % 112.43/81.11 | (156) sdtpldt0(xm, xp) = all_13_0_5 % 112.43/81.11 | % 112.43/81.11 | From (403) and (317) follows: % 112.43/81.11 | (429) sdtpldt0(xn, all_13_0_5) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (404) and (309) follows: % 112.43/81.11 | (318) sdtpldt0(xn, xp) = xn % 112.43/81.11 | % 112.43/81.11 | From (408) and (319) follows: % 112.43/81.11 | (12) sdtpldt0(xn, xm) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (396) and (351) follows: % 112.43/81.11 | (337) sdtpldt0(xn, sz10) = all_83_2_40 % 112.43/81.11 | % 112.43/81.11 | From (397) and (353) follows: % 112.43/81.11 | (338) sdtpldt0(sz10, xn) = all_83_0_38 % 112.43/81.11 | % 112.43/81.11 | From (400) and (262) follows: % 112.43/81.11 | (434) sdtpldt0(sz00, sz00) = sz00 % 112.43/81.11 | % 112.43/81.11 | From (397)(390) and (344) follows: % 112.43/81.11 | (334) sdtlseqdt0(all_83_0_38, xn) % 112.43/81.11 | % 112.43/81.11 | From (400) and (263) follows: % 112.43/81.11 | (108) aNaturalNumber0(sz00) % 112.43/81.11 | % 112.43/81.11 | From (407) and (257) follows: % 112.43/81.11 | (20) aNaturalNumber0(xp) % 112.43/81.11 | % 112.43/81.11 | From (411) and (196) follows: % 112.43/81.11 | (438) aNaturalNumber0(all_15_3_9) % 112.43/81.11 | % 112.43/81.11 | From (414) and (198) follows: % 112.43/81.11 | (139) aNaturalNumber0(all_0_2_2) % 112.43/81.11 | % 112.43/81.11 +-Applying beta-rule and splitting (399), into two cases. % 112.43/81.11 |-Branch one: % 112.43/81.11 | (173) xp = sz00 % 112.43/81.11 | % 112.43/81.11 | Equations (173) can reduce 37 to: % 112.43/81.11 | (174) $false % 112.43/81.11 | % 112.43/81.11 |-The branch is then unsatisfiable % 112.43/81.11 |-Branch two: % 112.43/81.11 | (37) ~ (xp = sz00) % 112.43/81.11 | (443) all_60_0_22 = all_0_0_0 % 112.43/81.11 | % 112.43/81.11 | From (443) and (277) follows: % 112.43/81.11 | (86) sdtasdt0(xp, all_0_0_0) = all_0_2_2 % 112.43/81.11 | % 112.43/81.11 | From (443) and (278) follows: % 112.43/81.11 | (116) aNaturalNumber0(all_0_0_0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (16) with xn, all_13_0_5, all_0_4_4, all_0_3_3 and discharging atoms sdtpldt0(xn, all_13_0_5) = all_0_3_3, sdtpldt0(xn, all_13_0_5) = all_0_4_4, yields: % 112.43/81.11 | (446) all_0_3_3 = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (77) with all_0_4_4, all_13_0_5, xm, xn and discharging atoms sdtpldt0(xn, all_13_0_5) = all_0_4_4, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(all_13_0_5), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.11 | (447) all_13_0_5 = xm % 112.43/81.11 | % 112.43/81.11 | From (446) and (17) follows: % 112.43/81.11 | (448) sdtpldt0(all_0_4_4, xp) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (446) and (250) follows: % 112.43/81.11 | (449) sdtpldt0(xp, all_0_4_4) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (447) and (223) follows: % 112.43/81.11 | (450) sdtpldt0(xp, xm) = xm % 112.43/81.11 | % 112.43/81.11 | From (447) and (156) follows: % 112.43/81.11 | (451) sdtpldt0(xm, xp) = xm % 112.43/81.11 | % 112.43/81.11 | From (446) and (427) follows: % 112.43/81.11 | (143) sdtpldt0(xm, xn) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (447) and (429) follows: % 112.43/81.11 | (12) sdtpldt0(xn, xm) = all_0_4_4 % 112.43/81.11 | % 112.43/81.11 | From (447) and (224) follows: % 112.43/81.11 | (107) aNaturalNumber0(xm) % 112.43/81.11 | % 112.43/81.11 | From (446) and (251) follows: % 112.43/81.11 | (144) aNaturalNumber0(all_0_4_4) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (77) with xm, all_58_0_21, xp, xm and discharging atoms sdtpldt0(xm, all_58_0_21) = xm, sdtpldt0(xm, xp) = xm, aNaturalNumber0(all_58_0_21), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.11 | (456) all_58_0_21 = xp % 112.43/81.11 | % 112.43/81.11 | From (456) and (274) follows: % 112.43/81.11 | (451) sdtpldt0(xm, xp) = xm % 112.43/81.11 | % 112.43/81.11 | From (456) and (275) follows: % 112.43/81.11 | (20) aNaturalNumber0(xp) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (31) with all_0_2_2, all_0_2_2, all_15_3_9, all_0_0_0, xm, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(all_15_3_9, all_0_2_2) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.11 | (459) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v0, xp) = all_0_2_2 & sdtasdt0(xp, v0) = v1 & sdtasdt0(xp, all_0_0_0) = v3 & sdtasdt0(xp, xm) = v2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xm, all_0_0_0) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (35) with all_0_2_2, all_0_2_2, all_15_3_9, all_0_0_0, xm, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(all_15_3_9, all_0_2_2) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.11 | (460) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v0, xp) = v1 & sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(xp, v0) = all_0_2_2 & sdtasdt0(xm, xp) = v2 & sdtpldt0(v2, v3) = v1 & sdtpldt0(xm, all_0_0_0) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (31) with all_0_2_2, all_15_3_9, all_0_2_2, xm, all_0_0_0, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.11 | (461) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v0, xp) = all_0_2_2 & sdtasdt0(xp, v0) = v1 & sdtasdt0(xp, all_0_0_0) = v2 & sdtasdt0(xp, xm) = v3 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_0_0, xm) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (35) with all_0_2_2, all_15_3_9, all_0_2_2, xm, all_0_0_0, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2, aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.11 | (462) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (sdtasdt0(v0, xp) = v1 & sdtasdt0(all_0_0_0, xp) = v2 & sdtasdt0(xp, v0) = all_0_2_2 & sdtasdt0(xm, xp) = v3 & sdtpldt0(v2, v3) = v1 & sdtpldt0(all_0_0_0, xm) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (27) with all_0_4_4, all_0_4_4, xp, xp, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 112.43/81.11 | (463) ? [v0] : (sdtpldt0(all_0_4_4, v0) = all_0_4_4 & sdtpldt0(xp, xp) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (27) with all_97_2_46, all_0_4_4, sz10, xn, xm and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.11 | (464) ? [v0] : (sdtpldt0(xm, v0) = all_97_2_46 & sdtpldt0(xn, sz10) = v0) % 112.43/81.11 | % 112.43/81.11 | Instantiating formula (27) with all_97_2_46, all_0_4_4, sz10, xm, xn and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.11 | (465) ? [v0] : (sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, v0) = all_97_2_46) % 112.43/81.11 | % 112.43/81.12 | Instantiating formula (27) with all_97_2_46, all_0_4_4, sz10, xp, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_4_4, sdtpldt0(all_0_4_4, sz10) = all_97_2_46, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (466) ? [v0] : (sdtpldt0(all_0_4_4, v0) = all_97_2_46 & sdtpldt0(xp, sz10) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (27) with all_97_2_46, all_0_4_4, sz10, all_0_4_4, xp and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(xp, all_0_4_4) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (467) ? [v0] : (sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xp, v0) = all_97_2_46) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (59) with all_0_4_4, all_0_4_4, all_0_4_4, xp, xp and discharging atoms sdtpldt0(xp, all_0_4_4) = all_0_4_4, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 112.43/81.12 | (468) ? [v0] : (sdtpldt0(v0, all_0_4_4) = all_0_4_4 & sdtpldt0(xp, xp) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (97) with all_0_4_4, all_0_4_4, xn, xp and discharging atoms sdtpldt0(xp, all_0_4_4) = all_0_4_4, sdtlseqdt0(xp, xn), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.43/81.12 | (469) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xp) = v0 & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (39) with all_15_3_9, xm, xm, xp, xp and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (470) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xp) = v3 & sdtasdt0(xp, xp) = v1 & sdtasdt0(xp, xm) = v2 & sdtasdt0(xp, xm) = v0 & sdtasdt0(xm, xp) = v4 & sdtpldt0(v3, v4) = all_15_3_9 & sdtpldt0(v1, v2) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (39) with all_0_2_2, xm, xm, xp, xn and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (471) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xn) = v3 & sdtasdt0(xm, xn) = v4 & sdtasdt0(xn, xp) = v1 & sdtasdt0(xn, xm) = v2 & sdtasdt0(xn, xm) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (58) with all_0_2_2, xm, xm, xp, xn and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (472) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xn) = v3 & sdtasdt0(xm, xn) = v4 & sdtasdt0(xm, xn) = v2 & sdtasdt0(xn, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (58) with all_15_3_9, xm, xm, xp, xp and discharging atoms sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (473) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xp) = v3 & sdtasdt0(xp, xp) = v0 & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xp) = v4 & sdtasdt0(xm, xp) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_15_3_9) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (109) with xm, all_0_4_4, xp, xn, xm and discharging atoms sdtpldt0(xp, xm) = xm, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (474) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v1) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (55) with xm, all_0_4_4, xp, xn, xm and discharging atoms sdtpldt0(xp, xm) = xm, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (475) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (55) with all_0_4_4, xm, xn, xp, xm and discharging atoms sdtpldt0(xp, xm) = xm, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (476) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (59) with xm, xm, xm, xp, xp and discharging atoms sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (477) ? [v0] : (sdtpldt0(v0, xm) = xm & sdtpldt0(xp, xp) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (97) with xm, xm, xn, xp and discharging atoms sdtpldt0(xp, xm) = xm, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (478) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xm) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xm, v2)) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (22) with xm, xm, xp and discharging atoms sdtpldt0(xp, xm) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (479) sdtlseqdt0(xp, xm) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (55) with xn, all_0_4_4, xp, xm, xn and discharging atoms sdtpldt0(xp, xn) = xn, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (480) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xm) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (55) with all_0_4_4, xn, xm, xp, xn and discharging atoms sdtpldt0(xp, xn) = xn, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (481) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (59) with xn, xn, xn, xp, xp and discharging atoms sdtpldt0(xp, xn) = xn, aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.43/81.12 | (482) ? [v0] : (sdtpldt0(v0, xn) = xn & sdtpldt0(xp, xp) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (39) with all_15_3_9, xm, xp, xm, xp and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(xm, xp) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (483) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xp) = v4 & sdtasdt0(xp, xp) = v2 & sdtasdt0(xp, xm) = v1 & sdtasdt0(xp, xm) = v0 & sdtasdt0(xm, xp) = v3 & sdtpldt0(v3, v4) = all_15_3_9 & sdtpldt0(v1, v2) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (39) with all_0_2_2, xm, xp, xm, xn and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtpldt0(xm, xp) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (484) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xn) = v4 & sdtasdt0(xm, xn) = v3 & sdtasdt0(xn, xp) = v2 & sdtasdt0(xn, xm) = v1 & sdtasdt0(xn, xm) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (58) with all_0_2_2, xm, xp, xm, xn and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, sdtpldt0(xm, xp) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.12 | (485) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xn) = v4 & sdtasdt0(xm, xn) = v3 & sdtasdt0(xm, xn) = v2 & sdtasdt0(xn, xp) = v1 & sdtasdt0(xn, xm) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (58) with all_15_3_9, xm, xp, xm, xp and discharging atoms sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(xm, xp) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (486) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(xp, xp) = v4 & sdtasdt0(xp, xp) = v1 & sdtasdt0(xp, xm) = v0 & sdtasdt0(xm, xp) = v3 & sdtasdt0(xm, xp) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_15_3_9) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (27) with xm, xm, xp, xp, xm and discharging atoms sdtpldt0(xm, xp) = xm, aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.12 | (487) ? [v0] : (sdtpldt0(xp, xp) = v0 & sdtpldt0(xm, v0) = xm) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (62) with all_0_4_4, all_102_2_49, xn, sz10, xm and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (488) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (62) with all_102_2_49, all_0_4_4, sz10, xn, xm and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (489) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xm) = v1) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (109) with all_0_4_4, all_102_2_49, xn, sz10, xm and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (490) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (55) with all_97_2_46, all_102_2_49, all_0_4_4, xm, sz10 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (491) all_0_4_4 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (27) with all_102_2_49, xm, sz10, xm, xp and discharging atoms sdtpldt0(xp, xm) = xm, sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (492) ? [v0] : (sdtpldt0(xp, v0) = all_102_2_49 & sdtpldt0(xm, sz10) = v0) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (27) with all_102_2_49, xm, sz10, xp, xm and discharging atoms sdtpldt0(xm, xp) = xm, sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.12 | (493) ? [v0] : (sdtpldt0(xp, sz10) = v0 & sdtpldt0(xm, v0) = all_102_2_49) % 112.43/81.12 | % 112.43/81.12 | Instantiating formula (79) with all_102_2_49, xm, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (494) sdtpldt0(sz10, xm) = all_102_2_49 % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (15) with all_0_4_4, xn, xp, xm, xn and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(xn, xp) = xn, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.13 | (495) xp = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = xn) & sdtpldt0(xp, xn) = v1 & sdtpldt0(xn, xm) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (27) with xn, xn, xp, xp, xn and discharging atoms sdtpldt0(xn, xp) = xn, aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.43/81.13 | (496) ? [v0] : (sdtpldt0(xp, xp) = v0 & sdtpldt0(xn, v0) = xn) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (109) with all_0_4_4, all_83_2_40, xm, sz10, xn and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (497) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_0_4_4, all_83_2_40, xm, sz10, xn and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (498) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_83_2_40, all_0_4_4, sz10, xm, xn and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (499) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_102_2_49, all_83_2_40, xm, xn, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (500) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_83_2_40, all_102_2_49, xn, xm, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (501) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (27) with all_83_2_40, xn, sz10, xp, xn and discharging atoms sdtpldt0(xn, xp) = xn, sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (502) ? [v0] : (sdtpldt0(xp, sz10) = v0 & sdtpldt0(xn, v0) = all_83_2_40) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (94) with all_83_2_40, sz10, xn, xp and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (503) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(xp, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (79) with all_83_2_40, xn, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (504) sdtpldt0(sz10, xn) = all_83_2_40 % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (59) with all_97_1_45, all_0_4_4, xn, xm, sz10 and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(sz10, all_0_4_4) = all_97_1_45, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (505) ? [v0] : (sdtpldt0(v0, xn) = all_97_1_45 & sdtpldt0(sz10, xm) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (59) with all_97_1_45, all_0_4_4, xm, xn, sz10 and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(sz10, all_0_4_4) = all_97_1_45, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (506) ? [v0] : (sdtpldt0(v0, xm) = all_97_1_45 & sdtpldt0(sz10, xn) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (15) with all_102_2_49, all_97_1_45, all_0_4_4, xm, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(sz10, all_0_4_4) = all_97_1_45, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (507) all_0_4_4 = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (25) with all_97_1_45, all_0_4_4, sz10 and discharging atoms sdtpldt0(sz10, all_0_4_4) = all_97_1_45, aNaturalNumber0(all_0_4_4), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (508) sdtpldt0(all_0_4_4, sz10) = all_97_1_45 % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (15) with all_102_1_48, all_0_4_4, xn, sz10, xm and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (509) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_0_4_4, all_102_1_48, xn, sz10, xm and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (510) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_102_1_48, all_0_4_4, sz10, xn, xm and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (511) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (109) with all_97_2_46, all_102_1_48, all_0_4_4, xm, sz10 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (512) all_0_4_4 = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (59) with all_102_1_48, xm, xp, xm, sz10 and discharging atoms sdtpldt0(xm, xp) = xm, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (513) ? [v0] : (sdtpldt0(v0, xp) = all_102_1_48 & sdtpldt0(sz10, xm) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (15) with all_83_2_40, all_102_1_48, xm, xn, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (514) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_97_1_45, all_102_1_48, all_0_4_4, xm, sz10 and discharging atoms sdtpldt0(sz10, all_0_4_4) = all_97_1_45, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (515) all_0_4_4 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_102_1_48, all_97_1_45, xm, all_0_4_4, sz10 and discharging atoms sdtpldt0(sz10, all_0_4_4) = all_97_1_45, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (516) all_0_4_4 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (48) with all_102_1_48, xm, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (517) aNaturalNumber0(all_102_1_48) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_0_4_4, all_83_0_38, xm, sz10, xn and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (518) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (55) with all_83_0_38, all_0_4_4, sz10, xm, xn and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (519) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(xn, sz10) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (15) with all_83_0_38, all_0_4_4, xm, sz10, xn and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (520) xm = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (109) with all_102_2_49, all_83_0_38, xm, xn, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (521) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (59) with all_83_0_38, xn, xp, xn, sz10 and discharging atoms sdtpldt0(xn, xp) = xn, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (522) ? [v0] : (sdtpldt0(v0, xp) = all_83_0_38 & sdtpldt0(sz10, xn) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_102_1_48, all_83_0_38, xm, xn, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_102_1_48, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (523) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(xn, sz10) = v0) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (62) with all_83_0_38, all_102_1_48, xn, xm, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_102_1_48, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (524) xm = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (7) with all_83_0_38, sz10, xn, xp and discharging atoms sdtpldt0(sz10, xn) = all_83_0_38, sdtlseqdt0(xp, xn), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.13 | (525) xp = xn | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xp, sz10) = v1 & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 112.43/81.13 | % 112.43/81.13 | Instantiating formula (48) with all_83_0_38, xn, sz10 and discharging atoms sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (526) aNaturalNumber0(all_83_0_38) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (10) with all_0_2_2, all_0_0_0 and discharging atoms doDivides0(all_0_0_0, all_0_2_2), aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_2_2), yields: % 112.43/81.14 | (527) ? [v0] : (sdtasdt0(all_0_0_0, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (10) with all_0_2_2, xm and discharging atoms doDivides0(xm, all_0_2_2), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xm), yields: % 112.43/81.14 | (528) ? [v0] : (sdtasdt0(xm, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (10) with all_0_2_2, xn and discharging atoms doDivides0(xn, all_0_2_2), aNaturalNumber0(all_0_2_2), aNaturalNumber0(xn), yields: % 112.43/81.14 | (529) ? [v0] : (sdtasdt0(xn, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with all_0_2_2, all_0_0_0 and discharging atoms sdtlseqdt0(all_0_0_0, all_0_2_2), aNaturalNumber0(all_0_0_0), aNaturalNumber0(all_0_2_2), yields: % 112.43/81.14 | (530) ? [v0] : (sdtpldt0(all_0_0_0, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with all_0_2_2, all_0_2_2 and discharging atoms sdtlseqdt0(all_0_2_2, all_0_2_2), aNaturalNumber0(all_0_2_2), yields: % 112.43/81.14 | (531) ? [v0] : (sdtpldt0(all_0_2_2, v0) = all_0_2_2 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with all_0_4_4, all_0_4_4 and discharging atoms sdtlseqdt0(all_0_4_4, all_0_4_4), aNaturalNumber0(all_0_4_4), yields: % 112.43/81.14 | (532) ? [v0] : (sdtpldt0(all_0_4_4, v0) = all_0_4_4 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (97) with all_0_4_4, xn, all_0_4_4, xm and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.14 | (533) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (67) with all_0_4_4, xn, all_0_4_4, xm and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.43/81.14 | (534) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (94) with all_97_2_46, sz10, all_0_4_4, xm and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (535) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (97) with all_102_2_49, sz10, all_0_4_4, xm and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (536) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (7) with all_97_1_45, sz10, all_0_4_4, xm and discharging atoms sdtpldt0(sz10, all_0_4_4) = all_97_1_45, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (537) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (67) with all_102_1_48, sz10, all_0_4_4, xm and discharging atoms sdtpldt0(sz10, xm) = all_102_1_48, sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (538) all_0_4_4 = xm | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with all_0_4_4, xm and discharging atoms sdtlseqdt0(xm, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xm), yields: % 112.43/81.14 | (539) ? [v0] : (sdtpldt0(xm, v0) = all_0_4_4 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (71) with all_0_4_4, xn, xp and discharging atoms sdtlseqdt0(xp, xn), sdtlseqdt0(xn, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.43/81.14 | (540) sdtlseqdt0(xp, all_0_4_4) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with all_0_4_4, xn and discharging atoms sdtlseqdt0(xn, all_0_4_4), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xn), yields: % 112.43/81.14 | (541) ? [v0] : (sdtpldt0(xn, v0) = all_0_4_4 & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (7) with all_0_4_4, xm, xn, sz10 and discharging atoms sdtpldt0(xm, xn) = all_0_4_4, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (542) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (94) with all_0_4_4, xm, xn, sz10 and discharging atoms sdtpldt0(xn, xm) = all_0_4_4, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (543) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (67) with all_97_2_46, all_0_4_4, xn, sz10 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtlseqdt0(sz10, xn), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (544) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (67) with all_102_2_49, xm, xn, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (545) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (67) with all_83_2_40, xn, xn, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (546) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_83_2_40, v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (94) with all_83_2_40, sz10, xn, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (547) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (97) with all_97_1_45, all_0_4_4, xn, sz10 and discharging atoms sdtpldt0(sz10, all_0_4_4) = all_97_1_45, sdtlseqdt0(sz10, xn), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (548) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (97) with all_102_1_48, xm, xn, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_102_1_48, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (549) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (7) with all_83_0_38, sz10, xn, sz10 and discharging atoms sdtpldt0(sz10, xn) = all_83_0_38, sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (550) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (97) with all_83_0_38, xn, xn, sz10 and discharging atoms sdtpldt0(sz10, xn) = all_83_0_38, sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (551) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (61) with xn, sz10 and discharging atoms sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (552) ? [v0] : (sdtpldt0(sz10, v0) = xn & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (39) with all_0_2_2, all_0_0_0, all_56_0_20, all_0_0_0, xp and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtpldt0(all_0_0_0, all_56_0_20) = all_0_0_0, aNaturalNumber0(all_56_0_20), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.43/81.14 | (553) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_56_0_20, xp) = v4 & sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(xp, all_56_0_20) = v2 & sdtasdt0(xp, all_0_0_0) = v1 & sdtasdt0(xp, all_0_0_0) = v0 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (58) with all_0_2_2, all_0_0_0, all_56_0_20, all_0_0_0, xp and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtpldt0(all_0_0_0, all_56_0_20) = all_0_0_0, aNaturalNumber0(all_56_0_20), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.43/81.14 | (554) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_56_0_20, xp) = v4 & sdtasdt0(all_0_0_0, xp) = v3 & sdtasdt0(all_0_0_0, xp) = v2 & sdtasdt0(xp, all_56_0_20) = v1 & sdtasdt0(xp, all_0_0_0) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (27) with all_0_0_0, all_0_0_0, all_56_0_20, all_56_0_20, all_0_0_0 and discharging atoms sdtpldt0(all_0_0_0, all_56_0_20) = all_0_0_0, aNaturalNumber0(all_56_0_20), aNaturalNumber0(all_0_0_0), yields: % 112.43/81.14 | (555) ? [v0] : (sdtpldt0(all_56_0_20, all_56_0_20) = v0 & sdtpldt0(all_0_0_0, v0) = all_0_0_0) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (118) with all_56_0_20 and discharging atoms aNaturalNumber0(all_56_0_20), yields: % 112.43/81.14 | (556) all_56_0_20 = sz10 | all_56_0_20 = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_56_0_20) & aNaturalNumber0(v0)) % 112.43/81.14 | % 112.43/81.14 | Instantiating formula (109) with all_102_2_49, sz10, xm, all_54_0_19, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.14 | (557) all_54_0_19 = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (109) with all_83_2_40, sz10, xn, all_54_0_19, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (558) all_54_0_19 = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with sz10, sz10, all_54_0_19, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (559) ? [v0] : (sdtpldt0(all_54_0_19, all_54_0_19) = v0 & sdtpldt0(sz10, v0) = sz10) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with all_97_2_46, sz10, all_54_0_19, sz10, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_97_2_46, sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(all_0_4_4), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (560) ? [v0] : (sdtpldt0(v0, all_54_0_19) = all_97_2_46 & sdtpldt0(all_0_4_4, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with all_102_2_49, sz10, all_54_0_19, sz10, xm and discharging atoms sdtpldt0(xm, sz10) = all_102_2_49, sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (561) ? [v0] : (sdtpldt0(v0, all_54_0_19) = all_102_2_49 & sdtpldt0(xm, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with all_83_2_40, sz10, all_54_0_19, sz10, xn and discharging atoms sdtpldt0(xn, sz10) = all_83_2_40, sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (562) ? [v0] : (sdtpldt0(v0, all_54_0_19) = all_83_2_40 & sdtpldt0(xn, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (62) with sz10, all_102_1_48, all_54_0_19, xm, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (563) all_54_0_19 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (62) with sz10, all_83_0_38, all_54_0_19, xn, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (564) all_54_0_19 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xn, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (97) with sz10, all_54_0_19, xp, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_54_0_19), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (565) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(all_54_0_19, xp) = v1 & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xp, all_54_0_19) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (79) with sz10, sz10, all_54_0_19 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, aNaturalNumber0(all_54_0_19), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (566) sdtpldt0(all_54_0_19, sz10) = sz10 % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with all_97_1_45, sz10, all_0_4_4, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, all_0_4_4) = all_97_1_45, aNaturalNumber0(all_54_0_19), aNaturalNumber0(all_0_4_4), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (567) ? [v0] : (sdtpldt0(all_54_0_19, all_0_4_4) = v0 & sdtpldt0(sz10, v0) = all_97_1_45) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with all_102_1_48, sz10, xm, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (568) ? [v0] : (sdtpldt0(all_54_0_19, xm) = v0 & sdtpldt0(sz10, v0) = all_102_1_48) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (62) with all_102_1_48, sz10, xm, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xm) = all_102_1_48, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (569) all_54_0_19 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with all_83_0_38, sz10, xn, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (570) ? [v0] : (sdtpldt0(all_54_0_19, xn) = v0 & sdtpldt0(sz10, v0) = all_83_0_38) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (62) with all_83_0_38, sz10, xn, all_54_0_19, sz10 and discharging atoms sdtpldt0(sz10, all_54_0_19) = sz10, sdtpldt0(sz10, xn) = all_83_0_38, aNaturalNumber0(all_54_0_19), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (571) all_54_0_19 = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (118) with all_54_0_19 and discharging atoms aNaturalNumber0(all_54_0_19), yields: % 112.43/81.15 | (572) all_54_0_19 = sz10 | all_54_0_19 = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_54_0_19) & aNaturalNumber0(v0)) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (58) with all_0_2_2, xp, all_52_0_18, sz10, all_0_0_0 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(all_0_0_0), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (573) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_52_0_18, all_0_0_0) = v4 & sdtasdt0(all_0_0_0, all_52_0_18) = v1 & sdtasdt0(all_0_0_0, sz10) = v0 & sdtasdt0(xp, all_0_0_0) = v2 & sdtasdt0(sz10, all_0_0_0) = v3 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (39) with all_0_2_2, xp, all_52_0_18, sz10, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(all_0_0_0), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (574) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_52_0_18, all_0_0_0) = v4 & sdtasdt0(all_0_0_0, all_52_0_18) = v2 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(all_0_0_0, sz10) = v1 & sdtasdt0(sz10, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (58) with all_15_3_9, xp, all_52_0_18, sz10, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (575) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_52_0_18, xm) = v4 & sdtasdt0(xp, xm) = v2 & sdtasdt0(xm, all_52_0_18) = v1 & sdtasdt0(xm, sz10) = v0 & sdtasdt0(sz10, xm) = v3 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_15_3_9) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (39) with all_15_3_9, xp, all_52_0_18, sz10, xm and discharging atoms sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (576) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_52_0_18, xm) = v4 & sdtasdt0(xm, all_52_0_18) = v2 & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, sz10) = v1 & sdtasdt0(sz10, xm) = v3 & sdtpldt0(v3, v4) = all_15_3_9 & sdtpldt0(v1, v2) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with all_0_4_4, xp, all_0_4_4, all_52_0_18, sz10 and discharging atoms sdtpldt0(xp, all_0_4_4) = all_0_4_4, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(all_0_4_4), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (577) ? [v0] : (sdtpldt0(all_52_0_18, all_0_4_4) = v0 & sdtpldt0(sz10, v0) = all_0_4_4) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (27) with xm, xp, xm, all_52_0_18, sz10 and discharging atoms sdtpldt0(xp, xm) = xm, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (578) ? [v0] : (sdtpldt0(all_52_0_18, xm) = v0 & sdtpldt0(sz10, v0) = xm) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with all_0_4_4, xp, all_52_0_18, sz10, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, xp) = all_0_4_4, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(all_0_4_4), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (579) ? [v0] : (sdtpldt0(v0, all_52_0_18) = all_0_4_4 & sdtpldt0(all_0_4_4, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with xm, xp, all_52_0_18, sz10, xm and discharging atoms sdtpldt0(xm, xp) = xm, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (580) ? [v0] : (sdtpldt0(v0, all_52_0_18) = xm & sdtpldt0(xm, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (59) with xn, xp, all_52_0_18, sz10, xn and discharging atoms sdtpldt0(xn, xp) = xn, sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (581) ? [v0] : (sdtpldt0(v0, all_52_0_18) = xn & sdtpldt0(xn, sz10) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (97) with xp, all_52_0_18, xp, sz10 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xp, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_52_0_18), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (582) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xp) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xp, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (97) with xp, all_52_0_18, xn, sz10 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xp, sdtlseqdt0(sz10, xn), aNaturalNumber0(all_52_0_18), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (583) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (79) with xp, sz10, all_52_0_18 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xp, aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), yields: % 112.43/81.15 | (584) sdtpldt0(all_52_0_18, sz10) = xp % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (58) with all_0_2_2, xp, all_46_0_15, xp, all_0_0_0 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_0_2_2, sdtpldt0(xp, all_46_0_15) = xp, aNaturalNumber0(all_46_0_15), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.43/81.15 | (585) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_46_0_15, all_0_0_0) = v4 & sdtasdt0(all_0_0_0, all_46_0_15) = v1 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(xp, all_0_0_0) = v3 & sdtasdt0(xp, all_0_0_0) = v2 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_0_2_2) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (39) with all_0_2_2, xp, all_46_0_15, xp, all_0_0_0 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_0_2_2, sdtpldt0(xp, all_46_0_15) = xp, aNaturalNumber0(all_46_0_15), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.43/81.15 | (586) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_46_0_15, all_0_0_0) = v4 & sdtasdt0(all_0_0_0, all_46_0_15) = v2 & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(all_0_0_0, xp) = v0 & sdtasdt0(xp, all_0_0_0) = v3 & sdtpldt0(v3, v4) = all_0_2_2 & sdtpldt0(v1, v2) = v0) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (58) with all_15_3_9, xp, all_46_0_15, xp, xm and discharging atoms sdtasdt0(xm, xp) = all_15_3_9, sdtpldt0(xp, all_46_0_15) = xp, aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.15 | (587) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_46_0_15, xm) = v4 & sdtasdt0(xp, xm) = v3 & sdtasdt0(xp, xm) = v2 & sdtasdt0(xm, all_46_0_15) = v1 & sdtasdt0(xm, xp) = v0 & sdtpldt0(v3, v4) = v2 & sdtpldt0(v0, v1) = all_15_3_9) % 112.43/81.15 | % 112.43/81.15 | Instantiating formula (39) with all_15_3_9, xp, all_46_0_15, xp, xm and discharging atoms sdtasdt0(xp, xm) = all_15_3_9, sdtpldt0(xp, all_46_0_15) = xp, aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.43/81.16 | (588) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (sdtasdt0(all_46_0_15, xm) = v4 & sdtasdt0(xp, xm) = v3 & sdtasdt0(xm, all_46_0_15) = v2 & sdtasdt0(xm, xp) = v1 & sdtasdt0(xm, xp) = v0 & sdtpldt0(v3, v4) = all_15_3_9 & sdtpldt0(v1, v2) = v0) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (27) with xp, xp, all_46_0_15, all_46_0_15, xp and discharging atoms sdtpldt0(xp, all_46_0_15) = xp, aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), yields: % 112.43/81.16 | (589) ? [v0] : (sdtpldt0(all_46_0_15, all_46_0_15) = v0 & sdtpldt0(xp, v0) = xp) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (59) with xn, xp, all_46_0_15, xp, xn and discharging atoms sdtpldt0(xp, all_46_0_15) = xp, sdtpldt0(xn, xp) = xn, aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.43/81.16 | (590) ? [v0] : (sdtpldt0(v0, all_46_0_15) = xn & sdtpldt0(xn, xp) = v0) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (94) with xp, all_46_0_15, xp, sz10 and discharging atoms sdtpldt0(xp, all_46_0_15) = xp, sdtlseqdt0(sz10, xp), aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), aNaturalNumber0(sz10), yields: % 112.43/81.16 | (591) xp = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_46_0_15, xp) = v1 & sdtpldt0(all_46_0_15, sz10) = v0 & sdtpldt0(sz10, all_46_0_15) = v2 & sdtlseqdt0(v2, xp) & sdtlseqdt0(v0, v1)) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (27) with all_0_4_4, xp, all_0_4_4, all_46_0_15, xp and discharging atoms sdtpldt0(xp, all_46_0_15) = xp, sdtpldt0(xp, all_0_4_4) = all_0_4_4, aNaturalNumber0(all_46_0_15), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 112.43/81.16 | (592) ? [v0] : (sdtpldt0(all_46_0_15, all_0_4_4) = v0 & sdtpldt0(xp, v0) = all_0_4_4) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (118) with all_46_0_15 and discharging atoms aNaturalNumber0(all_46_0_15), yields: % 112.43/81.16 | (593) all_46_0_15 = sz10 | all_46_0_15 = sz00 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_46_0_15) & aNaturalNumber0(v0)) % 112.43/81.16 | % 112.43/81.16 | Instantiating formula (61) with all_15_3_9, xm and discharging atoms sdtlseqdt0(xm, all_15_3_9), aNaturalNumber0(all_15_3_9), aNaturalNumber0(xm), yields: % 112.43/81.16 | (594) ? [v0] : (sdtpldt0(xm, v0) = all_15_3_9 & aNaturalNumber0(v0)) % 112.43/81.16 | % 112.43/81.16 | Instantiating (594) with all_142_0_52 yields: % 112.43/81.16 | (595) sdtpldt0(xm, all_142_0_52) = all_15_3_9 & aNaturalNumber0(all_142_0_52) % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (595) yields: % 112.43/81.16 | (596) sdtpldt0(xm, all_142_0_52) = all_15_3_9 % 112.43/81.16 | (597) aNaturalNumber0(all_142_0_52) % 112.43/81.16 | % 112.43/81.16 | Instantiating (529) with all_146_0_54 yields: % 112.43/81.16 | (598) sdtasdt0(xn, all_146_0_54) = all_0_2_2 & aNaturalNumber0(all_146_0_54) % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (598) yields: % 112.43/81.16 | (599) sdtasdt0(xn, all_146_0_54) = all_0_2_2 % 112.43/81.16 | (600) aNaturalNumber0(all_146_0_54) % 112.43/81.16 | % 112.43/81.16 | Instantiating (522) with all_148_0_55 yields: % 112.43/81.16 | (601) sdtpldt0(all_148_0_55, xp) = all_83_0_38 & sdtpldt0(sz10, xn) = all_148_0_55 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (601) yields: % 112.43/81.16 | (602) sdtpldt0(all_148_0_55, xp) = all_83_0_38 % 112.43/81.16 | (603) sdtpldt0(sz10, xn) = all_148_0_55 % 112.43/81.16 | % 112.43/81.16 | Instantiating (589) with all_154_0_58 yields: % 112.43/81.16 | (604) sdtpldt0(all_46_0_15, all_46_0_15) = all_154_0_58 & sdtpldt0(xp, all_154_0_58) = xp % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (604) yields: % 112.43/81.16 | (605) sdtpldt0(all_46_0_15, all_46_0_15) = all_154_0_58 % 112.43/81.16 | (606) sdtpldt0(xp, all_154_0_58) = xp % 112.43/81.16 | % 112.43/81.16 | Instantiating (567) with all_162_0_62 yields: % 112.43/81.16 | (607) sdtpldt0(all_54_0_19, all_0_4_4) = all_162_0_62 & sdtpldt0(sz10, all_162_0_62) = all_97_1_45 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (607) yields: % 112.43/81.16 | (608) sdtpldt0(all_54_0_19, all_0_4_4) = all_162_0_62 % 112.43/81.16 | (609) sdtpldt0(sz10, all_162_0_62) = all_97_1_45 % 112.43/81.16 | % 112.43/81.16 | Instantiating (554) with all_164_0_63, all_164_1_64, all_164_2_65, all_164_3_66, all_164_4_67 yields: % 112.43/81.16 | (610) sdtasdt0(all_56_0_20, xp) = all_164_0_63 & sdtasdt0(all_0_0_0, xp) = all_164_1_64 & sdtasdt0(all_0_0_0, xp) = all_164_2_65 & sdtasdt0(xp, all_56_0_20) = all_164_3_66 & sdtasdt0(xp, all_0_0_0) = all_164_4_67 & sdtpldt0(all_164_1_64, all_164_0_63) = all_164_2_65 & sdtpldt0(all_164_4_67, all_164_3_66) = all_0_2_2 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (610) yields: % 112.43/81.16 | (611) sdtasdt0(xp, all_0_0_0) = all_164_4_67 % 112.43/81.16 | (612) sdtasdt0(xp, all_56_0_20) = all_164_3_66 % 112.43/81.16 | (613) sdtasdt0(all_0_0_0, xp) = all_164_1_64 % 112.43/81.16 | (614) sdtpldt0(all_164_4_67, all_164_3_66) = all_0_2_2 % 112.43/81.16 | (615) sdtpldt0(all_164_1_64, all_164_0_63) = all_164_2_65 % 112.43/81.16 | (616) sdtasdt0(all_56_0_20, xp) = all_164_0_63 % 112.43/81.16 | (617) sdtasdt0(all_0_0_0, xp) = all_164_2_65 % 112.43/81.16 | % 112.43/81.16 | Instantiating (552) with all_166_0_68 yields: % 112.43/81.16 | (618) sdtpldt0(sz10, all_166_0_68) = xn & aNaturalNumber0(all_166_0_68) % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (618) yields: % 112.43/81.16 | (619) sdtpldt0(sz10, all_166_0_68) = xn % 112.43/81.16 | (620) aNaturalNumber0(all_166_0_68) % 112.43/81.16 | % 112.43/81.16 | Instantiating (553) with all_168_0_69, all_168_1_70, all_168_2_71, all_168_3_72, all_168_4_73 yields: % 112.43/81.16 | (621) sdtasdt0(all_56_0_20, xp) = all_168_0_69 & sdtasdt0(all_0_0_0, xp) = all_168_1_70 & sdtasdt0(xp, all_56_0_20) = all_168_2_71 & sdtasdt0(xp, all_0_0_0) = all_168_3_72 & sdtasdt0(xp, all_0_0_0) = all_168_4_73 & sdtpldt0(all_168_1_70, all_168_0_69) = all_0_2_2 & sdtpldt0(all_168_3_72, all_168_2_71) = all_168_4_73 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (621) yields: % 112.43/81.16 | (622) sdtasdt0(all_56_0_20, xp) = all_168_0_69 % 112.43/81.16 | (623) sdtasdt0(xp, all_0_0_0) = all_168_4_73 % 112.43/81.16 | (624) sdtasdt0(all_0_0_0, xp) = all_168_1_70 % 112.43/81.16 | (625) sdtpldt0(all_168_3_72, all_168_2_71) = all_168_4_73 % 112.43/81.16 | (626) sdtasdt0(xp, all_56_0_20) = all_168_2_71 % 112.43/81.16 | (627) sdtpldt0(all_168_1_70, all_168_0_69) = all_0_2_2 % 112.43/81.16 | (628) sdtasdt0(xp, all_0_0_0) = all_168_3_72 % 112.43/81.16 | % 112.43/81.16 | Instantiating (592) with all_170_0_74 yields: % 112.43/81.16 | (629) sdtpldt0(all_46_0_15, all_0_4_4) = all_170_0_74 & sdtpldt0(xp, all_170_0_74) = all_0_4_4 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (629) yields: % 112.43/81.16 | (630) sdtpldt0(all_46_0_15, all_0_4_4) = all_170_0_74 % 112.43/81.16 | (631) sdtpldt0(xp, all_170_0_74) = all_0_4_4 % 112.43/81.16 | % 112.43/81.16 | Instantiating (590) with all_172_0_75 yields: % 112.43/81.16 | (632) sdtpldt0(all_172_0_75, all_46_0_15) = xn & sdtpldt0(xn, xp) = all_172_0_75 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (632) yields: % 112.43/81.16 | (633) sdtpldt0(all_172_0_75, all_46_0_15) = xn % 112.43/81.16 | (634) sdtpldt0(xn, xp) = all_172_0_75 % 112.43/81.16 | % 112.43/81.16 | Instantiating (588) with all_174_0_76, all_174_1_77, all_174_2_78, all_174_3_79, all_174_4_80 yields: % 112.43/81.16 | (635) sdtasdt0(all_46_0_15, xm) = all_174_0_76 & sdtasdt0(xp, xm) = all_174_1_77 & sdtasdt0(xm, all_46_0_15) = all_174_2_78 & sdtasdt0(xm, xp) = all_174_3_79 & sdtasdt0(xm, xp) = all_174_4_80 & sdtpldt0(all_174_1_77, all_174_0_76) = all_15_3_9 & sdtpldt0(all_174_3_79, all_174_2_78) = all_174_4_80 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (635) yields: % 112.43/81.16 | (636) sdtasdt0(xm, all_46_0_15) = all_174_2_78 % 112.43/81.16 | (637) sdtpldt0(all_174_3_79, all_174_2_78) = all_174_4_80 % 112.43/81.16 | (638) sdtpldt0(all_174_1_77, all_174_0_76) = all_15_3_9 % 112.43/81.16 | (639) sdtasdt0(all_46_0_15, xm) = all_174_0_76 % 112.43/81.16 | (640) sdtasdt0(xm, xp) = all_174_3_79 % 112.43/81.16 | (641) sdtasdt0(xp, xm) = all_174_1_77 % 112.43/81.16 | (642) sdtasdt0(xm, xp) = all_174_4_80 % 112.43/81.16 | % 112.43/81.16 | Instantiating (587) with all_178_0_82, all_178_1_83, all_178_2_84, all_178_3_85, all_178_4_86 yields: % 112.43/81.16 | (643) sdtasdt0(all_46_0_15, xm) = all_178_0_82 & sdtasdt0(xp, xm) = all_178_1_83 & sdtasdt0(xp, xm) = all_178_2_84 & sdtasdt0(xm, all_46_0_15) = all_178_3_85 & sdtasdt0(xm, xp) = all_178_4_86 & sdtpldt0(all_178_1_83, all_178_0_82) = all_178_2_84 & sdtpldt0(all_178_4_86, all_178_3_85) = all_15_3_9 % 112.43/81.16 | % 112.43/81.16 | Applying alpha-rule on (643) yields: % 112.43/81.16 | (644) sdtasdt0(xm, all_46_0_15) = all_178_3_85 % 112.43/81.16 | (645) sdtasdt0(all_46_0_15, xm) = all_178_0_82 % 112.43/81.16 | (646) sdtpldt0(all_178_4_86, all_178_3_85) = all_15_3_9 % 112.43/81.16 | (647) sdtpldt0(all_178_1_83, all_178_0_82) = all_178_2_84 % 112.43/81.16 | (648) sdtasdt0(xm, xp) = all_178_4_86 % 112.43/81.16 | (649) sdtasdt0(xp, xm) = all_178_1_83 % 112.43/81.16 | (650) sdtasdt0(xp, xm) = all_178_2_84 % 112.43/81.16 | % 112.43/81.16 | Instantiating (555) with all_180_0_87 yields: % 112.43/81.17 | (651) sdtpldt0(all_56_0_20, all_56_0_20) = all_180_0_87 & sdtpldt0(all_0_0_0, all_180_0_87) = all_0_0_0 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (651) yields: % 112.43/81.17 | (652) sdtpldt0(all_56_0_20, all_56_0_20) = all_180_0_87 % 112.43/81.17 | (653) sdtpldt0(all_0_0_0, all_180_0_87) = all_0_0_0 % 112.43/81.17 | % 112.43/81.17 | Instantiating (473) with all_184_0_89, all_184_1_90, all_184_2_91, all_184_3_92, all_184_4_93 yields: % 112.43/81.17 | (654) sdtasdt0(xp, xp) = all_184_1_90 & sdtasdt0(xp, xp) = all_184_4_93 & sdtasdt0(xp, xm) = all_184_3_92 & sdtasdt0(xm, xp) = all_184_0_89 & sdtasdt0(xm, xp) = all_184_2_91 & sdtpldt0(all_184_1_90, all_184_0_89) = all_184_2_91 & sdtpldt0(all_184_4_93, all_184_3_92) = all_15_3_9 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (654) yields: % 112.43/81.17 | (655) sdtpldt0(all_184_1_90, all_184_0_89) = all_184_2_91 % 112.43/81.17 | (656) sdtasdt0(xp, xp) = all_184_1_90 % 112.43/81.17 | (657) sdtpldt0(all_184_4_93, all_184_3_92) = all_15_3_9 % 112.43/81.17 | (658) sdtasdt0(xp, xm) = all_184_3_92 % 112.43/81.17 | (659) sdtasdt0(xp, xp) = all_184_4_93 % 112.43/81.17 | (660) sdtasdt0(xm, xp) = all_184_2_91 % 112.43/81.17 | (661) sdtasdt0(xm, xp) = all_184_0_89 % 112.43/81.17 | % 112.43/81.17 | Instantiating (472) with all_186_0_94, all_186_1_95, all_186_2_96, all_186_3_97, all_186_4_98 yields: % 112.43/81.17 | (662) sdtasdt0(xp, xn) = all_186_1_95 & sdtasdt0(xm, xn) = all_186_0_94 & sdtasdt0(xm, xn) = all_186_2_96 & sdtasdt0(xn, xp) = all_186_4_98 & sdtasdt0(xn, xm) = all_186_3_97 & sdtpldt0(all_186_1_95, all_186_0_94) = all_186_2_96 & sdtpldt0(all_186_4_98, all_186_3_97) = all_0_2_2 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (662) yields: % 112.43/81.17 | (663) sdtpldt0(all_186_4_98, all_186_3_97) = all_0_2_2 % 112.43/81.17 | (664) sdtasdt0(xp, xn) = all_186_1_95 % 112.43/81.17 | (665) sdtasdt0(xm, xn) = all_186_0_94 % 112.43/81.17 | (666) sdtpldt0(all_186_1_95, all_186_0_94) = all_186_2_96 % 112.43/81.17 | (667) sdtasdt0(xn, xp) = all_186_4_98 % 112.43/81.17 | (668) sdtasdt0(xm, xn) = all_186_2_96 % 112.43/81.17 | (669) sdtasdt0(xn, xm) = all_186_3_97 % 112.43/81.17 | % 112.43/81.17 | Instantiating (505) with all_188_0_99 yields: % 112.43/81.17 | (670) sdtpldt0(all_188_0_99, xn) = all_97_1_45 & sdtpldt0(sz10, xm) = all_188_0_99 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (670) yields: % 112.43/81.17 | (671) sdtpldt0(all_188_0_99, xn) = all_97_1_45 % 112.43/81.17 | (672) sdtpldt0(sz10, xm) = all_188_0_99 % 112.43/81.17 | % 112.43/81.17 | Instantiating (541) with all_190_0_100 yields: % 112.43/81.17 | (673) sdtpldt0(xn, all_190_0_100) = all_0_4_4 & aNaturalNumber0(all_190_0_100) % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (673) yields: % 112.43/81.17 | (674) sdtpldt0(xn, all_190_0_100) = all_0_4_4 % 112.43/81.17 | (675) aNaturalNumber0(all_190_0_100) % 112.43/81.17 | % 112.43/81.17 | Instantiating (539) with all_192_0_101 yields: % 112.43/81.17 | (676) sdtpldt0(xm, all_192_0_101) = all_0_4_4 & aNaturalNumber0(all_192_0_101) % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (676) yields: % 112.43/81.17 | (677) sdtpldt0(xm, all_192_0_101) = all_0_4_4 % 112.43/81.17 | (678) aNaturalNumber0(all_192_0_101) % 112.43/81.17 | % 112.43/81.17 | Instantiating (486) with all_196_0_103, all_196_1_104, all_196_2_105, all_196_3_106, all_196_4_107 yields: % 112.43/81.17 | (679) sdtasdt0(xp, xp) = all_196_0_103 & sdtasdt0(xp, xp) = all_196_3_106 & sdtasdt0(xp, xm) = all_196_4_107 & sdtasdt0(xm, xp) = all_196_1_104 & sdtasdt0(xm, xp) = all_196_2_105 & sdtpldt0(all_196_1_104, all_196_0_103) = all_196_2_105 & sdtpldt0(all_196_4_107, all_196_3_106) = all_15_3_9 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (679) yields: % 112.43/81.17 | (680) sdtasdt0(xp, xp) = all_196_0_103 % 112.43/81.17 | (681) sdtasdt0(xp, xm) = all_196_4_107 % 112.43/81.17 | (682) sdtasdt0(xm, xp) = all_196_2_105 % 112.43/81.17 | (683) sdtpldt0(all_196_4_107, all_196_3_106) = all_15_3_9 % 112.43/81.17 | (684) sdtasdt0(xm, xp) = all_196_1_104 % 112.43/81.17 | (685) sdtpldt0(all_196_1_104, all_196_0_103) = all_196_2_105 % 112.43/81.17 | (686) sdtasdt0(xp, xp) = all_196_3_106 % 112.43/81.17 | % 112.43/81.17 | Instantiating (485) with all_198_0_108, all_198_1_109, all_198_2_110, all_198_3_111, all_198_4_112 yields: % 112.43/81.17 | (687) sdtasdt0(xp, xn) = all_198_0_108 & sdtasdt0(xm, xn) = all_198_1_109 & sdtasdt0(xm, xn) = all_198_2_110 & sdtasdt0(xn, xp) = all_198_3_111 & sdtasdt0(xn, xm) = all_198_4_112 & sdtpldt0(all_198_1_109, all_198_0_108) = all_198_2_110 & sdtpldt0(all_198_4_112, all_198_3_111) = all_0_2_2 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (687) yields: % 112.43/81.17 | (688) sdtasdt0(xm, xn) = all_198_2_110 % 112.43/81.17 | (689) sdtpldt0(all_198_4_112, all_198_3_111) = all_0_2_2 % 112.43/81.17 | (690) sdtasdt0(xm, xn) = all_198_1_109 % 112.43/81.17 | (691) sdtasdt0(xp, xn) = all_198_0_108 % 112.43/81.17 | (692) sdtasdt0(xn, xp) = all_198_3_111 % 112.43/81.17 | (693) sdtpldt0(all_198_1_109, all_198_0_108) = all_198_2_110 % 112.43/81.17 | (694) sdtasdt0(xn, xm) = all_198_4_112 % 112.43/81.17 | % 112.43/81.17 | Instantiating (482) with all_200_0_113 yields: % 112.43/81.17 | (695) sdtpldt0(all_200_0_113, xn) = xn & sdtpldt0(xp, xp) = all_200_0_113 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (695) yields: % 112.43/81.17 | (696) sdtpldt0(all_200_0_113, xn) = xn % 112.43/81.17 | (697) sdtpldt0(xp, xp) = all_200_0_113 % 112.43/81.17 | % 112.43/81.17 | Instantiating (484) with all_202_0_114, all_202_1_115, all_202_2_116, all_202_3_117, all_202_4_118 yields: % 112.43/81.17 | (698) sdtasdt0(xp, xn) = all_202_0_114 & sdtasdt0(xm, xn) = all_202_1_115 & sdtasdt0(xn, xp) = all_202_2_116 & sdtasdt0(xn, xm) = all_202_3_117 & sdtasdt0(xn, xm) = all_202_4_118 & sdtpldt0(all_202_1_115, all_202_0_114) = all_0_2_2 & sdtpldt0(all_202_3_117, all_202_2_116) = all_202_4_118 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (698) yields: % 112.43/81.17 | (699) sdtasdt0(xp, xn) = all_202_0_114 % 112.43/81.17 | (700) sdtpldt0(all_202_3_117, all_202_2_116) = all_202_4_118 % 112.43/81.17 | (701) sdtasdt0(xn, xp) = all_202_2_116 % 112.43/81.17 | (702) sdtasdt0(xn, xm) = all_202_3_117 % 112.43/81.17 | (703) sdtpldt0(all_202_1_115, all_202_0_114) = all_0_2_2 % 112.43/81.17 | (704) sdtasdt0(xm, xn) = all_202_1_115 % 112.43/81.17 | (705) sdtasdt0(xn, xm) = all_202_4_118 % 112.43/81.17 | % 112.43/81.17 | Instantiating (483) with all_204_0_119, all_204_1_120, all_204_2_121, all_204_3_122, all_204_4_123 yields: % 112.43/81.17 | (706) sdtasdt0(xp, xp) = all_204_0_119 & sdtasdt0(xp, xp) = all_204_2_121 & sdtasdt0(xp, xm) = all_204_3_122 & sdtasdt0(xp, xm) = all_204_4_123 & sdtasdt0(xm, xp) = all_204_1_120 & sdtpldt0(all_204_1_120, all_204_0_119) = all_15_3_9 & sdtpldt0(all_204_3_122, all_204_2_121) = all_204_4_123 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (706) yields: % 112.43/81.17 | (707) sdtasdt0(xp, xm) = all_204_3_122 % 112.43/81.17 | (708) sdtpldt0(all_204_1_120, all_204_0_119) = all_15_3_9 % 112.43/81.17 | (709) sdtasdt0(xp, xm) = all_204_4_123 % 112.43/81.17 | (710) sdtasdt0(xp, xp) = all_204_0_119 % 112.43/81.17 | (711) sdtasdt0(xm, xp) = all_204_1_120 % 112.43/81.17 | (712) sdtasdt0(xp, xp) = all_204_2_121 % 112.43/81.17 | (713) sdtpldt0(all_204_3_122, all_204_2_121) = all_204_4_123 % 112.43/81.17 | % 112.43/81.17 | Instantiating (502) with all_208_0_125 yields: % 112.43/81.17 | (714) sdtpldt0(xp, sz10) = all_208_0_125 & sdtpldt0(xn, all_208_0_125) = all_83_2_40 % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (714) yields: % 112.43/81.17 | (715) sdtpldt0(xp, sz10) = all_208_0_125 % 112.43/81.17 | (716) sdtpldt0(xn, all_208_0_125) = all_83_2_40 % 112.43/81.17 | % 112.43/81.17 | Instantiating (496) with all_210_0_126 yields: % 112.43/81.17 | (717) sdtpldt0(xp, xp) = all_210_0_126 & sdtpldt0(xn, all_210_0_126) = xn % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (717) yields: % 112.43/81.17 | (718) sdtpldt0(xp, xp) = all_210_0_126 % 112.43/81.17 | (719) sdtpldt0(xn, all_210_0_126) = xn % 112.43/81.17 | % 112.43/81.17 | Instantiating (528) with all_212_0_127 yields: % 112.43/81.17 | (720) sdtasdt0(xm, all_212_0_127) = all_0_2_2 & aNaturalNumber0(all_212_0_127) % 112.43/81.17 | % 112.43/81.17 | Applying alpha-rule on (720) yields: % 112.43/81.17 | (721) sdtasdt0(xm, all_212_0_127) = all_0_2_2 % 112.43/81.18 | (722) aNaturalNumber0(all_212_0_127) % 112.43/81.18 | % 112.43/81.18 | Instantiating (527) with all_214_0_128 yields: % 112.43/81.18 | (723) sdtasdt0(all_0_0_0, all_214_0_128) = all_0_2_2 & aNaturalNumber0(all_214_0_128) % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (723) yields: % 112.43/81.18 | (724) sdtasdt0(all_0_0_0, all_214_0_128) = all_0_2_2 % 112.43/81.18 | (725) aNaturalNumber0(all_214_0_128) % 112.43/81.18 | % 112.43/81.18 | Instantiating (581) with all_220_0_131 yields: % 112.43/81.18 | (726) sdtpldt0(all_220_0_131, all_52_0_18) = xn & sdtpldt0(xn, sz10) = all_220_0_131 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (726) yields: % 112.43/81.18 | (727) sdtpldt0(all_220_0_131, all_52_0_18) = xn % 112.43/81.18 | (728) sdtpldt0(xn, sz10) = all_220_0_131 % 112.43/81.18 | % 112.43/81.18 | Instantiating (580) with all_224_0_133 yields: % 112.43/81.18 | (729) sdtpldt0(all_224_0_133, all_52_0_18) = xm & sdtpldt0(xm, sz10) = all_224_0_133 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (729) yields: % 112.43/81.18 | (730) sdtpldt0(all_224_0_133, all_52_0_18) = xm % 112.43/81.18 | (731) sdtpldt0(xm, sz10) = all_224_0_133 % 112.43/81.18 | % 112.43/81.18 | Instantiating (579) with all_226_0_134 yields: % 112.43/81.18 | (732) sdtpldt0(all_226_0_134, all_52_0_18) = all_0_4_4 & sdtpldt0(all_0_4_4, sz10) = all_226_0_134 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (732) yields: % 112.43/81.18 | (733) sdtpldt0(all_226_0_134, all_52_0_18) = all_0_4_4 % 112.43/81.18 | (734) sdtpldt0(all_0_4_4, sz10) = all_226_0_134 % 112.43/81.18 | % 112.43/81.18 | Instantiating (578) with all_228_0_135 yields: % 112.43/81.18 | (735) sdtpldt0(all_52_0_18, xm) = all_228_0_135 & sdtpldt0(sz10, all_228_0_135) = xm % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (735) yields: % 112.43/81.18 | (736) sdtpldt0(all_52_0_18, xm) = all_228_0_135 % 112.43/81.18 | (737) sdtpldt0(sz10, all_228_0_135) = xm % 112.43/81.18 | % 112.43/81.18 | Instantiating (576) with all_230_0_136, all_230_1_137, all_230_2_138, all_230_3_139, all_230_4_140 yields: % 112.43/81.18 | (738) sdtasdt0(all_52_0_18, xm) = all_230_0_136 & sdtasdt0(xm, all_52_0_18) = all_230_2_138 & sdtasdt0(xm, xp) = all_230_4_140 & sdtasdt0(xm, sz10) = all_230_3_139 & sdtasdt0(sz10, xm) = all_230_1_137 & sdtpldt0(all_230_1_137, all_230_0_136) = all_15_3_9 & sdtpldt0(all_230_3_139, all_230_2_138) = all_230_4_140 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (738) yields: % 112.43/81.18 | (739) sdtasdt0(xm, sz10) = all_230_3_139 % 112.43/81.18 | (740) sdtasdt0(all_52_0_18, xm) = all_230_0_136 % 112.43/81.18 | (741) sdtpldt0(all_230_1_137, all_230_0_136) = all_15_3_9 % 112.43/81.18 | (742) sdtpldt0(all_230_3_139, all_230_2_138) = all_230_4_140 % 112.43/81.18 | (743) sdtasdt0(xm, xp) = all_230_4_140 % 112.43/81.18 | (744) sdtasdt0(xm, all_52_0_18) = all_230_2_138 % 112.43/81.18 | (745) sdtasdt0(sz10, xm) = all_230_1_137 % 112.43/81.18 | % 112.43/81.18 | Instantiating (477) with all_232_0_141 yields: % 112.43/81.18 | (746) sdtpldt0(all_232_0_141, xm) = xm & sdtpldt0(xp, xp) = all_232_0_141 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (746) yields: % 112.43/81.18 | (747) sdtpldt0(all_232_0_141, xm) = xm % 112.43/81.18 | (748) sdtpldt0(xp, xp) = all_232_0_141 % 112.43/81.18 | % 112.43/81.18 | Instantiating (532) with all_234_0_142 yields: % 112.43/81.18 | (749) sdtpldt0(all_0_4_4, all_234_0_142) = all_0_4_4 & aNaturalNumber0(all_234_0_142) % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (749) yields: % 112.43/81.18 | (750) sdtpldt0(all_0_4_4, all_234_0_142) = all_0_4_4 % 112.43/81.18 | (751) aNaturalNumber0(all_234_0_142) % 112.43/81.18 | % 112.43/81.18 | Instantiating (531) with all_236_0_143 yields: % 112.43/81.18 | (752) sdtpldt0(all_0_2_2, all_236_0_143) = all_0_2_2 & aNaturalNumber0(all_236_0_143) % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (752) yields: % 112.43/81.18 | (753) sdtpldt0(all_0_2_2, all_236_0_143) = all_0_2_2 % 112.43/81.18 | (754) aNaturalNumber0(all_236_0_143) % 112.43/81.18 | % 112.43/81.18 | Instantiating (530) with all_238_0_144 yields: % 112.43/81.18 | (755) sdtpldt0(all_0_0_0, all_238_0_144) = all_0_2_2 & aNaturalNumber0(all_238_0_144) % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (755) yields: % 112.43/81.18 | (756) sdtpldt0(all_0_0_0, all_238_0_144) = all_0_2_2 % 112.43/81.18 | (757) aNaturalNumber0(all_238_0_144) % 112.43/81.18 | % 112.43/81.18 | Instantiating (577) with all_240_0_145 yields: % 112.43/81.18 | (758) sdtpldt0(all_52_0_18, all_0_4_4) = all_240_0_145 & sdtpldt0(sz10, all_240_0_145) = all_0_4_4 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (758) yields: % 112.43/81.18 | (759) sdtpldt0(all_52_0_18, all_0_4_4) = all_240_0_145 % 112.43/81.18 | (760) sdtpldt0(sz10, all_240_0_145) = all_0_4_4 % 112.43/81.18 | % 112.43/81.18 | Instantiating (575) with all_242_0_146, all_242_1_147, all_242_2_148, all_242_3_149, all_242_4_150 yields: % 112.43/81.18 | (761) sdtasdt0(all_52_0_18, xm) = all_242_0_146 & sdtasdt0(xp, xm) = all_242_2_148 & sdtasdt0(xm, all_52_0_18) = all_242_3_149 & sdtasdt0(xm, sz10) = all_242_4_150 & sdtasdt0(sz10, xm) = all_242_1_147 & sdtpldt0(all_242_1_147, all_242_0_146) = all_242_2_148 & sdtpldt0(all_242_4_150, all_242_3_149) = all_15_3_9 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (761) yields: % 112.43/81.18 | (762) sdtpldt0(all_242_1_147, all_242_0_146) = all_242_2_148 % 112.43/81.18 | (763) sdtasdt0(xm, sz10) = all_242_4_150 % 112.43/81.18 | (764) sdtasdt0(xp, xm) = all_242_2_148 % 112.43/81.18 | (765) sdtasdt0(all_52_0_18, xm) = all_242_0_146 % 112.43/81.18 | (766) sdtpldt0(all_242_4_150, all_242_3_149) = all_15_3_9 % 112.43/81.18 | (767) sdtasdt0(sz10, xm) = all_242_1_147 % 112.43/81.18 | (768) sdtasdt0(xm, all_52_0_18) = all_242_3_149 % 112.43/81.18 | % 112.43/81.18 | Instantiating (573) with all_244_0_151, all_244_1_152, all_244_2_153, all_244_3_154, all_244_4_155 yields: % 112.43/81.18 | (769) sdtasdt0(all_52_0_18, all_0_0_0) = all_244_0_151 & sdtasdt0(all_0_0_0, all_52_0_18) = all_244_3_154 & sdtasdt0(all_0_0_0, sz10) = all_244_4_155 & sdtasdt0(xp, all_0_0_0) = all_244_2_153 & sdtasdt0(sz10, all_0_0_0) = all_244_1_152 & sdtpldt0(all_244_1_152, all_244_0_151) = all_244_2_153 & sdtpldt0(all_244_4_155, all_244_3_154) = all_0_2_2 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (769) yields: % 112.43/81.18 | (770) sdtpldt0(all_244_4_155, all_244_3_154) = all_0_2_2 % 112.43/81.18 | (771) sdtasdt0(all_0_0_0, all_52_0_18) = all_244_3_154 % 112.43/81.18 | (772) sdtasdt0(all_0_0_0, sz10) = all_244_4_155 % 112.43/81.18 | (773) sdtasdt0(sz10, all_0_0_0) = all_244_1_152 % 112.43/81.18 | (774) sdtasdt0(all_52_0_18, all_0_0_0) = all_244_0_151 % 112.43/81.18 | (775) sdtpldt0(all_244_1_152, all_244_0_151) = all_244_2_153 % 112.43/81.18 | (776) sdtasdt0(xp, all_0_0_0) = all_244_2_153 % 112.43/81.18 | % 112.43/81.18 | Instantiating (468) with all_246_0_156 yields: % 112.43/81.18 | (777) sdtpldt0(all_246_0_156, all_0_4_4) = all_0_4_4 & sdtpldt0(xp, xp) = all_246_0_156 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (777) yields: % 112.43/81.18 | (778) sdtpldt0(all_246_0_156, all_0_4_4) = all_0_4_4 % 112.43/81.18 | (779) sdtpldt0(xp, xp) = all_246_0_156 % 112.43/81.18 | % 112.43/81.18 | Instantiating (467) with all_248_0_157 yields: % 112.43/81.18 | (780) sdtpldt0(all_0_4_4, sz10) = all_248_0_157 & sdtpldt0(xp, all_248_0_157) = all_97_2_46 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (780) yields: % 112.43/81.18 | (781) sdtpldt0(all_0_4_4, sz10) = all_248_0_157 % 112.43/81.18 | (782) sdtpldt0(xp, all_248_0_157) = all_97_2_46 % 112.43/81.18 | % 112.43/81.18 | Instantiating (513) with all_250_0_158 yields: % 112.43/81.18 | (783) sdtpldt0(all_250_0_158, xp) = all_102_1_48 & sdtpldt0(sz10, xm) = all_250_0_158 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (783) yields: % 112.43/81.18 | (784) sdtpldt0(all_250_0_158, xp) = all_102_1_48 % 112.43/81.18 | (785) sdtpldt0(sz10, xm) = all_250_0_158 % 112.43/81.18 | % 112.43/81.18 | Instantiating (574) with all_252_0_159, all_252_1_160, all_252_2_161, all_252_3_162, all_252_4_163 yields: % 112.43/81.18 | (786) sdtasdt0(all_52_0_18, all_0_0_0) = all_252_0_159 & sdtasdt0(all_0_0_0, all_52_0_18) = all_252_2_161 & sdtasdt0(all_0_0_0, xp) = all_252_4_163 & sdtasdt0(all_0_0_0, sz10) = all_252_3_162 & sdtasdt0(sz10, all_0_0_0) = all_252_1_160 & sdtpldt0(all_252_1_160, all_252_0_159) = all_0_2_2 & sdtpldt0(all_252_3_162, all_252_2_161) = all_252_4_163 % 112.43/81.18 | % 112.43/81.18 | Applying alpha-rule on (786) yields: % 112.43/81.18 | (787) sdtasdt0(all_0_0_0, xp) = all_252_4_163 % 112.43/81.19 | (788) sdtasdt0(sz10, all_0_0_0) = all_252_1_160 % 112.43/81.19 | (789) sdtasdt0(all_0_0_0, sz10) = all_252_3_162 % 112.43/81.19 | (790) sdtasdt0(all_0_0_0, all_52_0_18) = all_252_2_161 % 112.43/81.19 | (791) sdtpldt0(all_252_3_162, all_252_2_161) = all_252_4_163 % 112.43/81.19 | (792) sdtasdt0(all_52_0_18, all_0_0_0) = all_252_0_159 % 112.43/81.19 | (793) sdtpldt0(all_252_1_160, all_252_0_159) = all_0_2_2 % 112.43/81.19 | % 112.43/81.19 | Instantiating (493) with all_254_0_164 yields: % 112.43/81.19 | (794) sdtpldt0(xp, sz10) = all_254_0_164 & sdtpldt0(xm, all_254_0_164) = all_102_2_49 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (794) yields: % 112.43/81.19 | (795) sdtpldt0(xp, sz10) = all_254_0_164 % 112.43/81.19 | (796) sdtpldt0(xm, all_254_0_164) = all_102_2_49 % 112.43/81.19 | % 112.43/81.19 | Instantiating (492) with all_256_0_165 yields: % 112.43/81.19 | (797) sdtpldt0(xp, all_256_0_165) = all_102_2_49 & sdtpldt0(xm, sz10) = all_256_0_165 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (797) yields: % 112.43/81.19 | (798) sdtpldt0(xp, all_256_0_165) = all_102_2_49 % 112.43/81.19 | (799) sdtpldt0(xm, sz10) = all_256_0_165 % 112.43/81.19 | % 112.43/81.19 | Instantiating (471) with all_258_0_166, all_258_1_167, all_258_2_168, all_258_3_169, all_258_4_170 yields: % 112.43/81.19 | (800) sdtasdt0(xp, xn) = all_258_1_167 & sdtasdt0(xm, xn) = all_258_0_166 & sdtasdt0(xn, xp) = all_258_3_169 & sdtasdt0(xn, xm) = all_258_2_168 & sdtasdt0(xn, xm) = all_258_4_170 & sdtpldt0(all_258_1_167, all_258_0_166) = all_0_2_2 & sdtpldt0(all_258_3_169, all_258_2_168) = all_258_4_170 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (800) yields: % 112.43/81.19 | (801) sdtasdt0(xn, xm) = all_258_4_170 % 112.43/81.19 | (802) sdtpldt0(all_258_3_169, all_258_2_168) = all_258_4_170 % 112.43/81.19 | (803) sdtasdt0(xn, xp) = all_258_3_169 % 112.43/81.19 | (804) sdtasdt0(xm, xn) = all_258_0_166 % 112.43/81.19 | (805) sdtasdt0(xp, xn) = all_258_1_167 % 112.43/81.19 | (806) sdtasdt0(xn, xm) = all_258_2_168 % 112.43/81.19 | (807) sdtpldt0(all_258_1_167, all_258_0_166) = all_0_2_2 % 112.43/81.19 | % 112.43/81.19 | Instantiating (466) with all_260_0_171 yields: % 112.43/81.19 | (808) sdtpldt0(all_0_4_4, all_260_0_171) = all_97_2_46 & sdtpldt0(xp, sz10) = all_260_0_171 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (808) yields: % 112.43/81.19 | (809) sdtpldt0(all_0_4_4, all_260_0_171) = all_97_2_46 % 112.43/81.19 | (810) sdtpldt0(xp, sz10) = all_260_0_171 % 112.43/81.19 | % 112.43/81.19 | Instantiating (464) with all_262_0_172 yields: % 112.43/81.19 | (811) sdtpldt0(xm, all_262_0_172) = all_97_2_46 & sdtpldt0(xn, sz10) = all_262_0_172 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (811) yields: % 112.43/81.19 | (812) sdtpldt0(xm, all_262_0_172) = all_97_2_46 % 112.43/81.19 | (813) sdtpldt0(xn, sz10) = all_262_0_172 % 112.43/81.19 | % 112.43/81.19 | Instantiating (463) with all_264_0_173 yields: % 112.43/81.19 | (814) sdtpldt0(all_0_4_4, all_264_0_173) = all_0_4_4 & sdtpldt0(xp, xp) = all_264_0_173 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (814) yields: % 112.43/81.19 | (815) sdtpldt0(all_0_4_4, all_264_0_173) = all_0_4_4 % 112.43/81.19 | (816) sdtpldt0(xp, xp) = all_264_0_173 % 112.43/81.19 | % 112.43/81.19 | Instantiating (487) with all_266_0_174 yields: % 112.43/81.19 | (817) sdtpldt0(xp, xp) = all_266_0_174 & sdtpldt0(xm, all_266_0_174) = xm % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (817) yields: % 112.43/81.19 | (818) sdtpldt0(xp, xp) = all_266_0_174 % 112.43/81.19 | (819) sdtpldt0(xm, all_266_0_174) = xm % 112.43/81.19 | % 112.43/81.19 | Instantiating (470) with all_268_0_175, all_268_1_176, all_268_2_177, all_268_3_178, all_268_4_179 yields: % 112.43/81.19 | (820) sdtasdt0(xp, xp) = all_268_1_176 & sdtasdt0(xp, xp) = all_268_3_178 & sdtasdt0(xp, xm) = all_268_2_177 & sdtasdt0(xp, xm) = all_268_4_179 & sdtasdt0(xm, xp) = all_268_0_175 & sdtpldt0(all_268_1_176, all_268_0_175) = all_15_3_9 & sdtpldt0(all_268_3_178, all_268_2_177) = all_268_4_179 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (820) yields: % 112.43/81.19 | (821) sdtasdt0(xp, xp) = all_268_3_178 % 112.43/81.19 | (822) sdtasdt0(xp, xp) = all_268_1_176 % 112.43/81.19 | (823) sdtasdt0(xm, xp) = all_268_0_175 % 112.43/81.19 | (824) sdtasdt0(xp, xm) = all_268_2_177 % 112.43/81.19 | (825) sdtpldt0(all_268_1_176, all_268_0_175) = all_15_3_9 % 112.43/81.19 | (826) sdtpldt0(all_268_3_178, all_268_2_177) = all_268_4_179 % 112.43/81.19 | (827) sdtasdt0(xp, xm) = all_268_4_179 % 112.43/81.19 | % 112.43/81.19 | Instantiating (586) with all_270_0_180, all_270_1_181, all_270_2_182, all_270_3_183, all_270_4_184 yields: % 112.43/81.19 | (828) sdtasdt0(all_46_0_15, all_0_0_0) = all_270_0_180 & sdtasdt0(all_0_0_0, all_46_0_15) = all_270_2_182 & sdtasdt0(all_0_0_0, xp) = all_270_3_183 & sdtasdt0(all_0_0_0, xp) = all_270_4_184 & sdtasdt0(xp, all_0_0_0) = all_270_1_181 & sdtpldt0(all_270_1_181, all_270_0_180) = all_0_2_2 & sdtpldt0(all_270_3_183, all_270_2_182) = all_270_4_184 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (828) yields: % 112.43/81.19 | (829) sdtasdt0(xp, all_0_0_0) = all_270_1_181 % 112.43/81.19 | (830) sdtpldt0(all_270_1_181, all_270_0_180) = all_0_2_2 % 112.43/81.19 | (831) sdtasdt0(all_0_0_0, xp) = all_270_4_184 % 112.43/81.19 | (832) sdtasdt0(all_0_0_0, all_46_0_15) = all_270_2_182 % 112.43/81.19 | (833) sdtasdt0(all_46_0_15, all_0_0_0) = all_270_0_180 % 112.43/81.19 | (834) sdtasdt0(all_0_0_0, xp) = all_270_3_183 % 112.43/81.19 | (835) sdtpldt0(all_270_3_183, all_270_2_182) = all_270_4_184 % 112.43/81.19 | % 112.43/81.19 | Instantiating (585) with all_272_0_185, all_272_1_186, all_272_2_187, all_272_3_188, all_272_4_189 yields: % 112.43/81.19 | (836) sdtasdt0(all_46_0_15, all_0_0_0) = all_272_0_185 & sdtasdt0(all_0_0_0, all_46_0_15) = all_272_3_188 & sdtasdt0(all_0_0_0, xp) = all_272_4_189 & sdtasdt0(xp, all_0_0_0) = all_272_1_186 & sdtasdt0(xp, all_0_0_0) = all_272_2_187 & sdtpldt0(all_272_1_186, all_272_0_185) = all_272_2_187 & sdtpldt0(all_272_4_189, all_272_3_188) = all_0_2_2 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (836) yields: % 112.43/81.19 | (837) sdtasdt0(xp, all_0_0_0) = all_272_1_186 % 112.43/81.19 | (838) sdtpldt0(all_272_4_189, all_272_3_188) = all_0_2_2 % 112.43/81.19 | (839) sdtasdt0(all_0_0_0, all_46_0_15) = all_272_3_188 % 112.43/81.19 | (840) sdtasdt0(all_46_0_15, all_0_0_0) = all_272_0_185 % 112.43/81.19 | (841) sdtpldt0(all_272_1_186, all_272_0_185) = all_272_2_187 % 112.43/81.19 | (842) sdtasdt0(all_0_0_0, xp) = all_272_4_189 % 112.43/81.19 | (843) sdtasdt0(xp, all_0_0_0) = all_272_2_187 % 112.43/81.19 | % 112.43/81.19 | Instantiating (568) with all_274_0_190 yields: % 112.43/81.19 | (844) sdtpldt0(all_54_0_19, xm) = all_274_0_190 & sdtpldt0(sz10, all_274_0_190) = all_102_1_48 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (844) yields: % 112.43/81.19 | (845) sdtpldt0(all_54_0_19, xm) = all_274_0_190 % 112.43/81.19 | (846) sdtpldt0(sz10, all_274_0_190) = all_102_1_48 % 112.43/81.19 | % 112.43/81.19 | Instantiating (562) with all_276_0_191 yields: % 112.43/81.19 | (847) sdtpldt0(all_276_0_191, all_54_0_19) = all_83_2_40 & sdtpldt0(xn, sz10) = all_276_0_191 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (847) yields: % 112.43/81.19 | (848) sdtpldt0(all_276_0_191, all_54_0_19) = all_83_2_40 % 112.43/81.19 | (849) sdtpldt0(xn, sz10) = all_276_0_191 % 112.43/81.19 | % 112.43/81.19 | Instantiating (559) with all_278_0_192 yields: % 112.43/81.19 | (850) sdtpldt0(all_54_0_19, all_54_0_19) = all_278_0_192 & sdtpldt0(sz10, all_278_0_192) = sz10 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (850) yields: % 112.43/81.19 | (851) sdtpldt0(all_54_0_19, all_54_0_19) = all_278_0_192 % 112.43/81.19 | (852) sdtpldt0(sz10, all_278_0_192) = sz10 % 112.43/81.19 | % 112.43/81.19 | Instantiating (561) with all_280_0_193 yields: % 112.43/81.19 | (853) sdtpldt0(all_280_0_193, all_54_0_19) = all_102_2_49 & sdtpldt0(xm, sz10) = all_280_0_193 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (853) yields: % 112.43/81.19 | (854) sdtpldt0(all_280_0_193, all_54_0_19) = all_102_2_49 % 112.43/81.19 | (855) sdtpldt0(xm, sz10) = all_280_0_193 % 112.43/81.19 | % 112.43/81.19 | Instantiating (560) with all_292_0_199 yields: % 112.43/81.19 | (856) sdtpldt0(all_292_0_199, all_54_0_19) = all_97_2_46 & sdtpldt0(all_0_4_4, sz10) = all_292_0_199 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (856) yields: % 112.43/81.19 | (857) sdtpldt0(all_292_0_199, all_54_0_19) = all_97_2_46 % 112.43/81.19 | (858) sdtpldt0(all_0_4_4, sz10) = all_292_0_199 % 112.43/81.19 | % 112.43/81.19 | Instantiating (506) with all_294_0_200 yields: % 112.43/81.19 | (859) sdtpldt0(all_294_0_200, xm) = all_97_1_45 & sdtpldt0(sz10, xn) = all_294_0_200 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (859) yields: % 112.43/81.19 | (860) sdtpldt0(all_294_0_200, xm) = all_97_1_45 % 112.43/81.19 | (861) sdtpldt0(sz10, xn) = all_294_0_200 % 112.43/81.19 | % 112.43/81.19 | Instantiating (465) with all_296_0_201 yields: % 112.43/81.19 | (862) sdtpldt0(xm, sz10) = all_296_0_201 & sdtpldt0(xn, all_296_0_201) = all_97_2_46 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (862) yields: % 112.43/81.19 | (863) sdtpldt0(xm, sz10) = all_296_0_201 % 112.43/81.19 | (864) sdtpldt0(xn, all_296_0_201) = all_97_2_46 % 112.43/81.19 | % 112.43/81.19 | Instantiating (570) with all_300_0_203 yields: % 112.43/81.19 | (865) sdtpldt0(all_54_0_19, xn) = all_300_0_203 & sdtpldt0(sz10, all_300_0_203) = all_83_0_38 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (865) yields: % 112.43/81.19 | (866) sdtpldt0(all_54_0_19, xn) = all_300_0_203 % 112.43/81.19 | (867) sdtpldt0(sz10, all_300_0_203) = all_83_0_38 % 112.43/81.19 | % 112.43/81.19 | Instantiating (462) with all_302_0_204, all_302_1_205, all_302_2_206, all_302_3_207 yields: % 112.43/81.19 | (868) sdtasdt0(all_302_3_207, xp) = all_302_2_206 & sdtasdt0(all_0_0_0, xp) = all_302_1_205 & sdtasdt0(xp, all_302_3_207) = all_0_2_2 & sdtasdt0(xm, xp) = all_302_0_204 & sdtpldt0(all_302_1_205, all_302_0_204) = all_302_2_206 & sdtpldt0(all_0_0_0, xm) = all_302_3_207 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (868) yields: % 112.43/81.19 | (869) sdtpldt0(all_0_0_0, xm) = all_302_3_207 % 112.43/81.19 | (870) sdtpldt0(all_302_1_205, all_302_0_204) = all_302_2_206 % 112.43/81.19 | (871) sdtasdt0(xm, xp) = all_302_0_204 % 112.43/81.19 | (872) sdtasdt0(xp, all_302_3_207) = all_0_2_2 % 112.43/81.19 | (873) sdtasdt0(all_302_3_207, xp) = all_302_2_206 % 112.43/81.19 | (874) sdtasdt0(all_0_0_0, xp) = all_302_1_205 % 112.43/81.19 | % 112.43/81.19 | Instantiating (461) with all_304_0_208, all_304_1_209, all_304_2_210, all_304_3_211 yields: % 112.43/81.19 | (875) sdtasdt0(all_304_3_211, xp) = all_0_2_2 & sdtasdt0(xp, all_304_3_211) = all_304_2_210 & sdtasdt0(xp, all_0_0_0) = all_304_1_209 & sdtasdt0(xp, xm) = all_304_0_208 & sdtpldt0(all_304_1_209, all_304_0_208) = all_304_2_210 & sdtpldt0(all_0_0_0, xm) = all_304_3_211 % 112.43/81.19 | % 112.43/81.19 | Applying alpha-rule on (875) yields: % 112.43/81.20 | (876) sdtasdt0(xp, all_304_3_211) = all_304_2_210 % 112.43/81.20 | (877) sdtasdt0(all_304_3_211, xp) = all_0_2_2 % 112.43/81.20 | (878) sdtpldt0(all_304_1_209, all_304_0_208) = all_304_2_210 % 112.43/81.20 | (879) sdtasdt0(xp, xm) = all_304_0_208 % 112.43/81.20 | (880) sdtpldt0(all_0_0_0, xm) = all_304_3_211 % 112.43/81.20 | (881) sdtasdt0(xp, all_0_0_0) = all_304_1_209 % 112.43/81.20 | % 112.43/81.20 | Instantiating (460) with all_306_0_212, all_306_1_213, all_306_2_214, all_306_3_215 yields: % 112.43/81.20 | (882) sdtasdt0(all_306_3_215, xp) = all_306_2_214 & sdtasdt0(all_0_0_0, xp) = all_306_0_212 & sdtasdt0(xp, all_306_3_215) = all_0_2_2 & sdtasdt0(xm, xp) = all_306_1_213 & sdtpldt0(all_306_1_213, all_306_0_212) = all_306_2_214 & sdtpldt0(xm, all_0_0_0) = all_306_3_215 % 112.43/81.20 | % 112.43/81.20 | Applying alpha-rule on (882) yields: % 112.43/81.20 | (883) sdtasdt0(xm, xp) = all_306_1_213 % 112.43/81.20 | (884) sdtpldt0(all_306_1_213, all_306_0_212) = all_306_2_214 % 112.43/81.20 | (885) sdtasdt0(all_306_3_215, xp) = all_306_2_214 % 112.43/81.20 | (886) sdtpldt0(xm, all_0_0_0) = all_306_3_215 % 112.43/81.20 | (887) sdtasdt0(all_0_0_0, xp) = all_306_0_212 % 112.43/81.20 | (888) sdtasdt0(xp, all_306_3_215) = all_0_2_2 % 112.43/81.20 | % 112.43/81.20 | Instantiating (459) with all_308_0_216, all_308_1_217, all_308_2_218, all_308_3_219 yields: % 112.43/81.20 | (889) sdtasdt0(all_308_3_219, xp) = all_0_2_2 & sdtasdt0(xp, all_308_3_219) = all_308_2_218 & sdtasdt0(xp, all_0_0_0) = all_308_0_216 & sdtasdt0(xp, xm) = all_308_1_217 & sdtpldt0(all_308_1_217, all_308_0_216) = all_308_2_218 & sdtpldt0(xm, all_0_0_0) = all_308_3_219 % 112.43/81.20 | % 112.43/81.20 | Applying alpha-rule on (889) yields: % 112.43/81.20 | (890) sdtasdt0(xp, all_0_0_0) = all_308_0_216 % 112.43/81.20 | (891) sdtasdt0(xp, all_308_3_219) = all_308_2_218 % 112.43/81.20 | (892) sdtpldt0(all_308_1_217, all_308_0_216) = all_308_2_218 % 112.43/81.20 | (893) sdtasdt0(xp, xm) = all_308_1_217 % 112.81/81.20 | (894) sdtpldt0(xm, all_0_0_0) = all_308_3_219 % 112.81/81.20 | (895) sdtasdt0(all_308_3_219, xp) = all_0_2_2 % 112.81/81.20 | % 112.81/81.20 +-Applying beta-rule and splitting (565), into two cases. % 112.81/81.20 |-Branch one: % 112.81/81.20 | (177) xp = sz10 % 112.81/81.20 | % 112.81/81.20 | Equations (177) can reduce 18 to: % 112.81/81.20 | (174) $false % 112.81/81.20 | % 112.81/81.20 |-The branch is then unsatisfiable % 112.81/81.20 |-Branch two: % 112.81/81.20 | (18) ~ (xp = sz10) % 112.81/81.20 | (899) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(all_54_0_19, xp) = v1 & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xp, all_54_0_19) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 112.81/81.20 | % 112.81/81.20 | Instantiating (899) with all_314_0_220, all_314_1_221, all_314_2_222 yields: % 112.81/81.20 | (900) ~ (all_314_0_220 = sz10) & ~ (all_314_1_221 = all_314_2_222) & sdtpldt0(all_54_0_19, xp) = all_314_1_221 & sdtpldt0(all_54_0_19, sz10) = all_314_2_222 & sdtpldt0(xp, all_54_0_19) = all_314_0_220 & sdtlseqdt0(all_314_2_222, all_314_1_221) & sdtlseqdt0(sz10, all_314_0_220) % 112.81/81.20 | % 112.81/81.20 | Applying alpha-rule on (900) yields: % 112.81/81.20 | (901) sdtpldt0(all_54_0_19, sz10) = all_314_2_222 % 112.81/81.20 | (902) sdtlseqdt0(sz10, all_314_0_220) % 112.81/81.20 | (903) sdtlseqdt0(all_314_2_222, all_314_1_221) % 112.81/81.20 | (904) ~ (all_314_0_220 = sz10) % 112.81/81.20 | (905) ~ (all_314_1_221 = all_314_2_222) % 112.81/81.20 | (906) sdtpldt0(all_54_0_19, xp) = all_314_1_221 % 112.81/81.20 | (907) sdtpldt0(xp, all_54_0_19) = all_314_0_220 % 112.81/81.20 | % 112.81/81.20 +-Applying beta-rule and splitting (582), into two cases. % 112.81/81.20 |-Branch one: % 112.81/81.20 | (177) xp = sz10 % 112.81/81.20 | % 112.81/81.20 | Equations (177) can reduce 18 to: % 112.81/81.20 | (174) $false % 112.81/81.20 | % 112.81/81.20 |-The branch is then unsatisfiable % 112.81/81.20 |-Branch two: % 112.81/81.20 | (18) ~ (xp = sz10) % 112.81/81.20 | (911) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xp) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xp, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 112.81/81.20 | % 112.81/81.20 | Instantiating (911) with all_319_0_223, all_319_1_224, all_319_2_225 yields: % 112.81/81.20 | (912) ~ (all_319_0_223 = xp) & ~ (all_319_1_224 = all_319_2_225) & sdtpldt0(all_52_0_18, xp) = all_319_1_224 & sdtpldt0(all_52_0_18, sz10) = all_319_2_225 & sdtpldt0(xp, all_52_0_18) = all_319_0_223 & sdtlseqdt0(all_319_2_225, all_319_1_224) & sdtlseqdt0(xp, all_319_0_223) % 112.81/81.20 | % 112.81/81.20 | Applying alpha-rule on (912) yields: % 112.81/81.20 | (913) sdtlseqdt0(all_319_2_225, all_319_1_224) % 112.81/81.20 | (914) sdtpldt0(all_52_0_18, sz10) = all_319_2_225 % 112.81/81.20 | (915) sdtlseqdt0(xp, all_319_0_223) % 112.81/81.20 | (916) ~ (all_319_0_223 = xp) % 112.81/81.20 | (917) ~ (all_319_1_224 = all_319_2_225) % 112.81/81.20 | (918) sdtpldt0(all_52_0_18, xp) = all_319_1_224 % 112.81/81.20 | (919) sdtpldt0(xp, all_52_0_18) = all_319_0_223 % 112.81/81.20 | % 112.81/81.20 +-Applying beta-rule and splitting (591), into two cases. % 112.81/81.20 |-Branch one: % 112.81/81.20 | (177) xp = sz10 % 112.81/81.20 | % 112.81/81.20 | Equations (177) can reduce 18 to: % 112.81/81.20 | (174) $false % 112.81/81.20 | % 112.81/81.20 |-The branch is then unsatisfiable % 112.81/81.20 |-Branch two: % 112.81/81.20 | (18) ~ (xp = sz10) % 112.81/81.20 | (923) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_46_0_15, xp) = v1 & sdtpldt0(all_46_0_15, sz10) = v0 & sdtpldt0(sz10, all_46_0_15) = v2 & sdtlseqdt0(v2, xp) & sdtlseqdt0(v0, v1)) % 112.81/81.20 | % 112.81/81.20 | Instantiating (923) with all_324_0_226, all_324_1_227, all_324_2_228 yields: % 112.81/81.20 | (924) ~ (all_324_0_226 = xp) & ~ (all_324_1_227 = all_324_2_228) & sdtpldt0(all_46_0_15, xp) = all_324_1_227 & sdtpldt0(all_46_0_15, sz10) = all_324_2_228 & sdtpldt0(sz10, all_46_0_15) = all_324_0_226 & sdtlseqdt0(all_324_0_226, xp) & sdtlseqdt0(all_324_2_228, all_324_1_227) % 112.81/81.20 | % 112.81/81.20 | Applying alpha-rule on (924) yields: % 112.81/81.20 | (925) sdtpldt0(all_46_0_15, sz10) = all_324_2_228 % 112.81/81.20 | (926) sdtlseqdt0(all_324_2_228, all_324_1_227) % 112.81/81.20 | (927) sdtpldt0(all_46_0_15, xp) = all_324_1_227 % 112.81/81.20 | (928) sdtlseqdt0(all_324_0_226, xp) % 112.81/81.20 | (929) ~ (all_324_0_226 = xp) % 112.81/81.20 | (930) ~ (all_324_1_227 = all_324_2_228) % 112.81/81.20 | (931) sdtpldt0(sz10, all_46_0_15) = all_324_0_226 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_46_0_15, all_0_0_0, all_270_0_180, all_272_0_185 and discharging atoms sdtasdt0(all_46_0_15, all_0_0_0) = all_272_0_185, sdtasdt0(all_46_0_15, all_0_0_0) = all_270_0_180, yields: % 112.81/81.20 | (932) all_272_0_185 = all_270_0_180 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_46_0_15, xm, all_174_0_76, all_178_0_82 and discharging atoms sdtasdt0(all_46_0_15, xm) = all_178_0_82, sdtasdt0(all_46_0_15, xm) = all_174_0_76, yields: % 112.81/81.20 | (933) all_178_0_82 = all_174_0_76 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, all_46_0_15, all_270_2_182, all_272_3_188 and discharging atoms sdtasdt0(all_0_0_0, all_46_0_15) = all_272_3_188, sdtasdt0(all_0_0_0, all_46_0_15) = all_270_2_182, yields: % 112.81/81.20 | (934) all_272_3_188 = all_270_2_182 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_272_4_189, all_302_1_205 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_302_1_205, sdtasdt0(all_0_0_0, xp) = all_272_4_189, yields: % 112.81/81.20 | (935) all_302_1_205 = all_272_4_189 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_270_3_183, all_0_2_2 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_270_3_183, sdtasdt0(all_0_0_0, xp) = all_0_2_2, yields: % 112.81/81.20 | (936) all_270_3_183 = all_0_2_2 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_270_3_183, all_272_4_189 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_272_4_189, sdtasdt0(all_0_0_0, xp) = all_270_3_183, yields: % 112.81/81.20 | (937) all_272_4_189 = all_270_3_183 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_252_4_163, all_306_0_212 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_306_0_212, sdtasdt0(all_0_0_0, xp) = all_252_4_163, yields: % 112.81/81.20 | (938) all_306_0_212 = all_252_4_163 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_252_4_163, all_270_3_183 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_270_3_183, sdtasdt0(all_0_0_0, xp) = all_252_4_163, yields: % 112.81/81.20 | (939) all_270_3_183 = all_252_4_163 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_252_4_163, all_270_4_184 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_270_4_184, sdtasdt0(all_0_0_0, xp) = all_252_4_163, yields: % 112.81/81.20 | (940) all_270_4_184 = all_252_4_163 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_168_1_70, all_306_0_212 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_306_0_212, sdtasdt0(all_0_0_0, xp) = all_168_1_70, yields: % 112.81/81.20 | (941) all_306_0_212 = all_168_1_70 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_164_1_64, all_302_1_205 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_302_1_205, sdtasdt0(all_0_0_0, xp) = all_164_1_64, yields: % 112.81/81.20 | (942) all_302_1_205 = all_164_1_64 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, xp, all_164_2_65, all_270_4_184 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_270_4_184, sdtasdt0(all_0_0_0, xp) = all_164_2_65, yields: % 112.81/81.20 | (943) all_270_4_184 = all_164_2_65 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (85) with all_252_3_162, all_0_0_0 and discharging atoms sdtasdt0(all_0_0_0, sz10) = all_252_3_162, aNaturalNumber0(all_0_0_0), yields: % 112.81/81.20 | (944) all_252_3_162 = all_0_0_0 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with all_0_0_0, sz10, all_244_4_155, all_252_3_162 and discharging atoms sdtasdt0(all_0_0_0, sz10) = all_252_3_162, sdtasdt0(all_0_0_0, sz10) = all_244_4_155, yields: % 112.81/81.20 | (945) all_252_3_162 = all_244_4_155 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_304_1_209, all_308_0_216 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_308_0_216, sdtasdt0(xp, all_0_0_0) = all_304_1_209, yields: % 112.81/81.20 | (946) all_308_0_216 = all_304_1_209 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_272_2_187, all_308_0_216 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_308_0_216, sdtasdt0(xp, all_0_0_0) = all_272_2_187, yields: % 112.81/81.20 | (947) all_308_0_216 = all_272_2_187 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_270_1_181, all_272_1_186 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_272_1_186, sdtasdt0(xp, all_0_0_0) = all_270_1_181, yields: % 112.81/81.20 | (948) all_272_1_186 = all_270_1_181 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_244_2_153, all_0_2_2 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_244_2_153, sdtasdt0(xp, all_0_0_0) = all_0_2_2, yields: % 112.81/81.20 | (949) all_244_2_153 = all_0_2_2 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_244_2_153, all_304_1_209 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_304_1_209, sdtasdt0(xp, all_0_0_0) = all_244_2_153, yields: % 112.81/81.20 | (950) all_304_1_209 = all_244_2_153 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_244_2_153, all_272_1_186 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_272_1_186, sdtasdt0(xp, all_0_0_0) = all_244_2_153, yields: % 112.81/81.20 | (951) all_272_1_186 = all_244_2_153 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_168_3_72, all_272_1_186 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_272_1_186, sdtasdt0(xp, all_0_0_0) = all_168_3_72, yields: % 112.81/81.20 | (952) all_272_1_186 = all_168_3_72 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_168_4_73, all_304_1_209 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_304_1_209, sdtasdt0(xp, all_0_0_0) = all_168_4_73, yields: % 112.81/81.20 | (953) all_304_1_209 = all_168_4_73 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, all_0_0_0, all_164_4_67, all_244_2_153 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_244_2_153, sdtasdt0(xp, all_0_0_0) = all_164_4_67, yields: % 112.81/81.20 | (954) all_244_2_153 = all_164_4_67 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, xm, all_268_4_179, all_15_3_9 and discharging atoms sdtasdt0(xp, xm) = all_268_4_179, sdtasdt0(xp, xm) = all_15_3_9, yields: % 112.81/81.20 | (955) all_268_4_179 = all_15_3_9 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, xm, all_242_2_148, all_308_1_217 and discharging atoms sdtasdt0(xp, xm) = all_308_1_217, sdtasdt0(xp, xm) = all_242_2_148, yields: % 112.81/81.20 | (956) all_308_1_217 = all_242_2_148 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, xm, all_204_3_122, all_268_2_177 and discharging atoms sdtasdt0(xp, xm) = all_268_2_177, sdtasdt0(xp, xm) = all_204_3_122, yields: % 112.81/81.20 | (957) all_268_2_177 = all_204_3_122 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, xm, all_204_3_122, all_242_2_148 and discharging atoms sdtasdt0(xp, xm) = all_242_2_148, sdtasdt0(xp, xm) = all_204_3_122, yields: % 112.81/81.20 | (958) all_242_2_148 = all_204_3_122 % 112.81/81.20 | % 112.81/81.20 | Instantiating formula (49) with xp, xm, all_204_4_123, all_304_0_208 and discharging atoms sdtasdt0(xp, xm) = all_304_0_208, sdtasdt0(xp, xm) = all_204_4_123, yields: % 112.81/81.20 | (959) all_304_0_208 = all_204_4_123 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_204_4_123, all_242_2_148 and discharging atoms sdtasdt0(xp, xm) = all_242_2_148, sdtasdt0(xp, xm) = all_204_4_123, yields: % 112.81/81.21 | (960) all_242_2_148 = all_204_4_123 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_196_4_107, all_308_1_217 and discharging atoms sdtasdt0(xp, xm) = all_308_1_217, sdtasdt0(xp, xm) = all_196_4_107, yields: % 112.81/81.21 | (961) all_308_1_217 = all_196_4_107 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_184_3_92, all_268_2_177 and discharging atoms sdtasdt0(xp, xm) = all_268_2_177, sdtasdt0(xp, xm) = all_184_3_92, yields: % 112.81/81.21 | (962) all_268_2_177 = all_184_3_92 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_178_1_83, all_304_0_208 and discharging atoms sdtasdt0(xp, xm) = all_304_0_208, sdtasdt0(xp, xm) = all_178_1_83, yields: % 112.81/81.21 | (963) all_304_0_208 = all_178_1_83 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_178_2_84, all_268_4_179 and discharging atoms sdtasdt0(xp, xm) = all_268_4_179, sdtasdt0(xp, xm) = all_178_2_84, yields: % 112.81/81.21 | (964) all_268_4_179 = all_178_2_84 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_178_2_84, all_242_2_148 and discharging atoms sdtasdt0(xp, xm) = all_242_2_148, sdtasdt0(xp, xm) = all_178_2_84, yields: % 112.81/81.21 | (965) all_242_2_148 = all_178_2_84 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xp, xm, all_174_1_77, all_204_3_122 and discharging atoms sdtasdt0(xp, xm) = all_204_3_122, sdtasdt0(xp, xm) = all_174_1_77, yields: % 112.81/81.21 | (966) all_204_3_122 = all_174_1_77 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_268_0_175, all_302_0_204 and discharging atoms sdtasdt0(xm, xp) = all_302_0_204, sdtasdt0(xm, xp) = all_268_0_175, yields: % 112.81/81.21 | (967) all_302_0_204 = all_268_0_175 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_230_4_140, all_268_0_175 and discharging atoms sdtasdt0(xm, xp) = all_268_0_175, sdtasdt0(xm, xp) = all_230_4_140, yields: % 112.81/81.21 | (968) all_268_0_175 = all_230_4_140 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_204_1_120, all_306_1_213 and discharging atoms sdtasdt0(xm, xp) = all_306_1_213, sdtasdt0(xm, xp) = all_204_1_120, yields: % 112.81/81.21 | (969) all_306_1_213 = all_204_1_120 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_196_1_104, all_230_4_140 and discharging atoms sdtasdt0(xm, xp) = all_230_4_140, sdtasdt0(xm, xp) = all_196_1_104, yields: % 112.81/81.21 | (970) all_230_4_140 = all_196_1_104 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_196_1_104, all_204_1_120 and discharging atoms sdtasdt0(xm, xp) = all_204_1_120, sdtasdt0(xm, xp) = all_196_1_104, yields: % 112.81/81.21 | (971) all_204_1_120 = all_196_1_104 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_196_2_105, all_306_1_213 and discharging atoms sdtasdt0(xm, xp) = all_306_1_213, sdtasdt0(xm, xp) = all_196_2_105, yields: % 112.81/81.21 | (972) all_306_1_213 = all_196_2_105 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_184_0_89, all_204_1_120 and discharging atoms sdtasdt0(xm, xp) = all_204_1_120, sdtasdt0(xm, xp) = all_184_0_89, yields: % 112.81/81.21 | (973) all_204_1_120 = all_184_0_89 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_184_2_91, all_15_3_9 and discharging atoms sdtasdt0(xm, xp) = all_184_2_91, sdtasdt0(xm, xp) = all_15_3_9, yields: % 112.81/81.21 | (974) all_184_2_91 = all_15_3_9 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_184_2_91, all_184_0_89 and discharging atoms sdtasdt0(xm, xp) = all_184_0_89, sdtasdt0(xm, xp) = all_184_2_91, yields: % 112.81/81.21 | (975) all_184_0_89 = all_184_2_91 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_178_4_86, all_302_0_204 and discharging atoms sdtasdt0(xm, xp) = all_302_0_204, sdtasdt0(xm, xp) = all_178_4_86, yields: % 112.81/81.21 | (976) all_302_0_204 = all_178_4_86 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xp, all_174_3_79, all_184_2_91 and discharging atoms sdtasdt0(xm, xp) = all_184_2_91, sdtasdt0(xm, xp) = all_174_3_79, yields: % 112.81/81.21 | (977) all_184_2_91 = all_174_3_79 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_202_1_115, all_258_0_166 and discharging atoms sdtasdt0(xm, xn) = all_258_0_166, sdtasdt0(xm, xn) = all_202_1_115, yields: % 112.81/81.21 | (978) all_258_0_166 = all_202_1_115 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_198_1_109, all_0_2_2 and discharging atoms sdtasdt0(xm, xn) = all_198_1_109, sdtasdt0(xm, xn) = all_0_2_2, yields: % 112.81/81.21 | (979) all_198_1_109 = all_0_2_2 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_198_2_110, all_202_1_115 and discharging atoms sdtasdt0(xm, xn) = all_202_1_115, sdtasdt0(xm, xn) = all_198_2_110, yields: % 112.81/81.21 | (980) all_202_1_115 = all_198_2_110 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_198_2_110, all_198_1_109 and discharging atoms sdtasdt0(xm, xn) = all_198_1_109, sdtasdt0(xm, xn) = all_198_2_110, yields: % 112.81/81.21 | (981) all_198_1_109 = all_198_2_110 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_186_0_94, all_198_1_109 and discharging atoms sdtasdt0(xm, xn) = all_198_1_109, sdtasdt0(xm, xn) = all_186_0_94, yields: % 112.81/81.21 | (982) all_198_1_109 = all_186_0_94 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with xm, xn, all_186_2_96, all_258_0_166 and discharging atoms sdtasdt0(xm, xn) = all_258_0_166, sdtasdt0(xm, xn) = all_186_2_96, yields: % 112.81/81.21 | (983) all_258_0_166 = all_186_2_96 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (81) with all_252_1_160, all_0_0_0 and discharging atoms sdtasdt0(sz10, all_0_0_0) = all_252_1_160, aNaturalNumber0(all_0_0_0), yields: % 112.81/81.21 | (984) all_252_1_160 = all_0_0_0 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (49) with sz10, all_0_0_0, all_244_1_152, all_252_1_160 and discharging atoms sdtasdt0(sz10, all_0_0_0) = all_252_1_160, sdtasdt0(sz10, all_0_0_0) = all_244_1_152, yields: % 112.81/81.21 | (985) all_252_1_160 = all_244_1_152 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_54_0_19, sz10, sz10, all_314_2_222 and discharging atoms sdtpldt0(all_54_0_19, sz10) = all_314_2_222, sdtpldt0(all_54_0_19, sz10) = sz10, yields: % 112.81/81.21 | (986) all_314_2_222 = sz10 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_52_0_18, sz10, xp, all_319_2_225 and discharging atoms sdtpldt0(all_52_0_18, sz10) = all_319_2_225, sdtpldt0(all_52_0_18, sz10) = xp, yields: % 112.81/81.21 | (987) all_319_2_225 = xp % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_0_0_0, xm, all_302_3_207, all_304_3_211 and discharging atoms sdtpldt0(all_0_0_0, xm) = all_304_3_211, sdtpldt0(all_0_0_0, xm) = all_302_3_207, yields: % 112.81/81.21 | (988) all_304_3_211 = all_302_3_207 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_0_4_4, sz10, all_248_0_157, all_292_0_199 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_292_0_199, sdtpldt0(all_0_4_4, sz10) = all_248_0_157, yields: % 112.81/81.21 | (989) all_292_0_199 = all_248_0_157 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_0_4_4, sz10, all_226_0_134, all_97_2_46 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_226_0_134, sdtpldt0(all_0_4_4, sz10) = all_97_2_46, yields: % 112.81/81.21 | (990) all_226_0_134 = all_97_2_46 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_0_4_4, sz10, all_226_0_134, all_248_0_157 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_248_0_157, sdtpldt0(all_0_4_4, sz10) = all_226_0_134, yields: % 112.81/81.21 | (991) all_248_0_157 = all_226_0_134 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with all_0_4_4, sz10, all_97_1_45, all_292_0_199 and discharging atoms sdtpldt0(all_0_4_4, sz10) = all_292_0_199, sdtpldt0(all_0_4_4, sz10) = all_97_1_45, yields: % 112.81/81.21 | (992) all_292_0_199 = all_97_1_45 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, xp, all_264_0_173, all_266_0_174 and discharging atoms sdtpldt0(xp, xp) = all_266_0_174, sdtpldt0(xp, xp) = all_264_0_173, yields: % 112.81/81.21 | (993) all_266_0_174 = all_264_0_173 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, xp, all_246_0_156, all_264_0_173 and discharging atoms sdtpldt0(xp, xp) = all_264_0_173, sdtpldt0(xp, xp) = all_246_0_156, yields: % 112.81/81.21 | (994) all_264_0_173 = all_246_0_156 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, xp, all_232_0_141, all_246_0_156 and discharging atoms sdtpldt0(xp, xp) = all_246_0_156, sdtpldt0(xp, xp) = all_232_0_141, yields: % 112.81/81.21 | (995) all_246_0_156 = all_232_0_141 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, xp, all_210_0_126, all_266_0_174 and discharging atoms sdtpldt0(xp, xp) = all_266_0_174, sdtpldt0(xp, xp) = all_210_0_126, yields: % 112.81/81.21 | (996) all_266_0_174 = all_210_0_126 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, xp, all_200_0_113, all_232_0_141 and discharging atoms sdtpldt0(xp, xp) = all_232_0_141, sdtpldt0(xp, xp) = all_200_0_113, yields: % 112.81/81.21 | (997) all_232_0_141 = all_200_0_113 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, sz10, all_254_0_164, all_260_0_171 and discharging atoms sdtpldt0(xp, sz10) = all_260_0_171, sdtpldt0(xp, sz10) = all_254_0_164, yields: % 112.81/81.21 | (998) all_260_0_171 = all_254_0_164 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xp, sz10, all_208_0_125, all_260_0_171 and discharging atoms sdtpldt0(xp, sz10) = all_260_0_171, sdtpldt0(xp, sz10) = all_208_0_125, yields: % 112.81/81.21 | (999) all_260_0_171 = all_208_0_125 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xm, all_0_0_0, all_306_3_215, all_308_3_219 and discharging atoms sdtpldt0(xm, all_0_0_0) = all_308_3_219, sdtpldt0(xm, all_0_0_0) = all_306_3_215, yields: % 112.81/81.21 | (1000) all_308_3_219 = all_306_3_215 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xm, sz10, all_280_0_193, all_296_0_201 and discharging atoms sdtpldt0(xm, sz10) = all_296_0_201, sdtpldt0(xm, sz10) = all_280_0_193, yields: % 112.81/81.21 | (1001) all_296_0_201 = all_280_0_193 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xm, sz10, all_256_0_165, all_102_2_49 and discharging atoms sdtpldt0(xm, sz10) = all_256_0_165, sdtpldt0(xm, sz10) = all_102_2_49, yields: % 112.81/81.21 | (1002) all_256_0_165 = all_102_2_49 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xm, sz10, all_256_0_165, all_280_0_193 and discharging atoms sdtpldt0(xm, sz10) = all_280_0_193, sdtpldt0(xm, sz10) = all_256_0_165, yields: % 112.81/81.21 | (1003) all_280_0_193 = all_256_0_165 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xm, sz10, all_224_0_133, all_296_0_201 and discharging atoms sdtpldt0(xm, sz10) = all_296_0_201, sdtpldt0(xm, sz10) = all_224_0_133, yields: % 112.81/81.21 | (1004) all_296_0_201 = all_224_0_133 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xn, xp, all_172_0_75, xn and discharging atoms sdtpldt0(xn, xp) = all_172_0_75, sdtpldt0(xn, xp) = xn, yields: % 112.81/81.21 | (1005) all_172_0_75 = xn % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xn, sz10, all_262_0_172, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_262_0_172, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 112.81/81.21 | (1006) all_262_0_172 = all_83_2_40 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xn, sz10, all_262_0_172, all_276_0_191 and discharging atoms sdtpldt0(xn, sz10) = all_276_0_191, sdtpldt0(xn, sz10) = all_262_0_172, yields: % 112.81/81.21 | (1007) all_276_0_191 = all_262_0_172 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with xn, sz10, all_220_0_131, all_276_0_191 and discharging atoms sdtpldt0(xn, sz10) = all_276_0_191, sdtpldt0(xn, sz10) = all_220_0_131, yields: % 112.81/81.21 | (1008) all_276_0_191 = all_220_0_131 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xm, all_250_0_158, all_102_1_48 and discharging atoms sdtpldt0(sz10, xm) = all_250_0_158, sdtpldt0(sz10, xm) = all_102_1_48, yields: % 112.81/81.21 | (1009) all_250_0_158 = all_102_1_48 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xm, all_188_0_99, all_250_0_158 and discharging atoms sdtpldt0(sz10, xm) = all_250_0_158, sdtpldt0(sz10, xm) = all_188_0_99, yields: % 112.81/81.21 | (1010) all_250_0_158 = all_188_0_99 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xm, all_102_2_49, all_250_0_158 and discharging atoms sdtpldt0(sz10, xm) = all_250_0_158, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 112.81/81.21 | (1011) all_250_0_158 = all_102_2_49 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xn, all_294_0_200, all_83_0_38 and discharging atoms sdtpldt0(sz10, xn) = all_294_0_200, sdtpldt0(sz10, xn) = all_83_0_38, yields: % 112.81/81.21 | (1012) all_294_0_200 = all_83_0_38 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xn, all_148_0_55, all_294_0_200 and discharging atoms sdtpldt0(sz10, xn) = all_294_0_200, sdtpldt0(sz10, xn) = all_148_0_55, yields: % 112.81/81.21 | (1013) all_294_0_200 = all_148_0_55 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (16) with sz10, xn, all_83_2_40, all_294_0_200 and discharging atoms sdtpldt0(sz10, xn) = all_294_0_200, sdtpldt0(sz10, xn) = all_83_2_40, yields: % 112.81/81.21 | (1014) all_294_0_200 = all_83_2_40 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (77) with all_0_2_2, all_15_3_9, all_236_0_143, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, all_236_0_143) = all_0_2_2, sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2, aNaturalNumber0(all_236_0_143), aNaturalNumber0(all_15_3_9), aNaturalNumber0(all_0_2_2), yields: % 112.81/81.21 | (1015) all_236_0_143 = all_15_3_9 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (77) with all_0_4_4, xp, all_234_0_142, all_0_4_4 and discharging atoms sdtpldt0(all_0_4_4, all_234_0_142) = all_0_4_4, sdtpldt0(all_0_4_4, xp) = all_0_4_4, aNaturalNumber0(all_234_0_142), aNaturalNumber0(all_0_4_4), aNaturalNumber0(xp), yields: % 112.81/81.21 | (1016) all_234_0_142 = xp % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (29) with all_0_2_2, xp, all_214_0_128, all_0_0_0 and discharging atoms sdtasdt0(all_0_0_0, all_214_0_128) = all_0_2_2, sdtasdt0(all_0_0_0, xp) = all_0_2_2, aNaturalNumber0(all_214_0_128), aNaturalNumber0(all_0_0_0), aNaturalNumber0(xp), yields: % 112.81/81.21 | (1017) all_214_0_128 = xp | all_0_0_0 = sz00 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (29) with all_0_2_2, xn, all_212_0_127, xm and discharging atoms sdtasdt0(xm, all_212_0_127) = all_0_2_2, sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(all_212_0_127), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.21 | (1018) all_212_0_127 = xn | xm = sz00 % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (77) with all_0_4_4, xn, all_192_0_101, xm and discharging atoms sdtpldt0(xm, all_192_0_101) = all_0_4_4, sdtpldt0(xm, xn) = all_0_4_4, aNaturalNumber0(all_192_0_101), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.21 | (1019) all_192_0_101 = xn % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (77) with all_0_4_4, xm, all_190_0_100, xn and discharging atoms sdtpldt0(xn, all_190_0_100) = all_0_4_4, sdtpldt0(xn, xm) = all_0_4_4, aNaturalNumber0(all_190_0_100), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.21 | (1020) all_190_0_100 = xm % 112.81/81.21 | % 112.81/81.21 | Instantiating formula (29) with all_0_2_2, xm, all_146_0_54, xn and discharging atoms sdtasdt0(xn, all_146_0_54) = all_0_2_2, sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(all_146_0_54), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.21 | (1021) all_146_0_54 = xm | xn = sz00 % 112.81/81.21 | % 112.81/81.21 | Combining equations (946,947) yields a new equation: % 112.81/81.21 | (1022) all_304_1_209 = all_272_2_187 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1022 yields: % 112.81/81.21 | (1023) all_304_1_209 = all_272_2_187 % 112.81/81.21 | % 112.81/81.21 | Combining equations (956,961) yields a new equation: % 112.81/81.21 | (1024) all_242_2_148 = all_196_4_107 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1024 yields: % 112.81/81.21 | (1025) all_242_2_148 = all_196_4_107 % 112.81/81.21 | % 112.81/81.21 | Combining equations (938,941) yields a new equation: % 112.81/81.21 | (1026) all_252_4_163 = all_168_1_70 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1026 yields: % 112.81/81.21 | (1027) all_252_4_163 = all_168_1_70 % 112.81/81.21 | % 112.81/81.21 | Combining equations (969,972) yields a new equation: % 112.81/81.21 | (1028) all_204_1_120 = all_196_2_105 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1028 yields: % 112.81/81.21 | (1029) all_204_1_120 = all_196_2_105 % 112.81/81.21 | % 112.81/81.21 | Combining equations (959,963) yields a new equation: % 112.81/81.21 | (1030) all_204_4_123 = all_178_1_83 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1030 yields: % 112.81/81.21 | (1031) all_204_4_123 = all_178_1_83 % 112.81/81.21 | % 112.81/81.21 | Combining equations (950,1023) yields a new equation: % 112.81/81.21 | (1032) all_272_2_187 = all_244_2_153 % 112.81/81.21 | % 112.81/81.21 | Combining equations (953,1023) yields a new equation: % 112.81/81.21 | (1033) all_272_2_187 = all_168_4_73 % 112.81/81.21 | % 112.81/81.21 | Combining equations (967,976) yields a new equation: % 112.81/81.21 | (1034) all_268_0_175 = all_178_4_86 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1034 yields: % 112.81/81.21 | (1035) all_268_0_175 = all_178_4_86 % 112.81/81.21 | % 112.81/81.21 | Combining equations (935,942) yields a new equation: % 112.81/81.21 | (1036) all_272_4_189 = all_164_1_64 % 112.81/81.21 | % 112.81/81.21 | Simplifying 1036 yields: % 112.81/81.21 | (1037) all_272_4_189 = all_164_1_64 % 112.81/81.21 | % 112.81/81.21 | Combining equations (1001,1004) yields a new equation: % 112.81/81.21 | (1038) all_280_0_193 = all_224_0_133 % 112.81/81.21 | % 112.81/81.22 | Simplifying 1038 yields: % 112.81/81.22 | (1039) all_280_0_193 = all_224_0_133 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1012,1013) yields a new equation: % 112.81/81.22 | (1040) all_148_0_55 = all_83_0_38 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1014,1013) yields a new equation: % 112.81/81.22 | (1041) all_148_0_55 = all_83_2_40 % 112.81/81.22 | % 112.81/81.22 | Combining equations (989,992) yields a new equation: % 112.81/81.22 | (1042) all_248_0_157 = all_97_1_45 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1042 yields: % 112.81/81.22 | (1043) all_248_0_157 = all_97_1_45 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1003,1039) yields a new equation: % 112.81/81.22 | (1044) all_256_0_165 = all_224_0_133 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1044 yields: % 112.81/81.22 | (1045) all_256_0_165 = all_224_0_133 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1007,1008) yields a new equation: % 112.81/81.22 | (1046) all_262_0_172 = all_220_0_131 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1046 yields: % 112.81/81.22 | (1047) all_262_0_172 = all_220_0_131 % 112.81/81.22 | % 112.81/81.22 | Combining equations (952,948) yields a new equation: % 112.81/81.22 | (1048) all_270_1_181 = all_168_3_72 % 112.81/81.22 | % 112.81/81.22 | Combining equations (951,948) yields a new equation: % 112.81/81.22 | (1049) all_270_1_181 = all_244_2_153 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1032,1033) yields a new equation: % 112.81/81.22 | (1050) all_244_2_153 = all_168_4_73 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1050 yields: % 112.81/81.22 | (1051) all_244_2_153 = all_168_4_73 % 112.81/81.22 | % 112.81/81.22 | Combining equations (937,1037) yields a new equation: % 112.81/81.22 | (1052) all_270_3_183 = all_164_1_64 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1052 yields: % 112.81/81.22 | (1053) all_270_3_183 = all_164_1_64 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1049,1048) yields a new equation: % 112.81/81.22 | (1054) all_244_2_153 = all_168_3_72 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1054 yields: % 112.81/81.22 | (1055) all_244_2_153 = all_168_3_72 % 112.81/81.22 | % 112.81/81.22 | Combining equations (939,1053) yields a new equation: % 112.81/81.22 | (1056) all_252_4_163 = all_164_1_64 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1056 yields: % 112.81/81.22 | (1057) all_252_4_163 = all_164_1_64 % 112.81/81.22 | % 112.81/81.22 | Combining equations (936,1053) yields a new equation: % 112.81/81.22 | (1058) all_164_1_64 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (940,943) yields a new equation: % 112.81/81.22 | (1059) all_252_4_163 = all_164_2_65 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1059 yields: % 112.81/81.22 | (1060) all_252_4_163 = all_164_2_65 % 112.81/81.22 | % 112.81/81.22 | Combining equations (968,1035) yields a new equation: % 112.81/81.22 | (1061) all_230_4_140 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1061 yields: % 112.81/81.22 | (1062) all_230_4_140 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Combining equations (957,962) yields a new equation: % 112.81/81.22 | (1063) all_204_3_122 = all_184_3_92 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1063 yields: % 112.81/81.22 | (1064) all_204_3_122 = all_184_3_92 % 112.81/81.22 | % 112.81/81.22 | Combining equations (964,955) yields a new equation: % 112.81/81.22 | (1065) all_178_2_84 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1065 yields: % 112.81/81.22 | (1066) all_178_2_84 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (993,996) yields a new equation: % 112.81/81.22 | (1067) all_264_0_173 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1067 yields: % 112.81/81.22 | (1068) all_264_0_173 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Combining equations (994,1068) yields a new equation: % 112.81/81.22 | (1069) all_246_0_156 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1069 yields: % 112.81/81.22 | (1070) all_246_0_156 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1006,1047) yields a new equation: % 112.81/81.22 | (1071) all_220_0_131 = all_83_2_40 % 112.81/81.22 | % 112.81/81.22 | Combining equations (999,998) yields a new equation: % 112.81/81.22 | (1072) all_254_0_164 = all_208_0_125 % 112.81/81.22 | % 112.81/81.22 | Combining equations (978,983) yields a new equation: % 112.81/81.22 | (1073) all_202_1_115 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1073 yields: % 112.81/81.22 | (1074) all_202_1_115 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1002,1045) yields a new equation: % 112.81/81.22 | (1075) all_224_0_133 = all_102_2_49 % 112.81/81.22 | % 112.81/81.22 | Combining equations (984,985) yields a new equation: % 112.81/81.22 | (1076) all_244_1_152 = all_0_0_0 % 112.81/81.22 | % 112.81/81.22 | Combining equations (944,945) yields a new equation: % 112.81/81.22 | (1077) all_244_4_155 = all_0_0_0 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1060,1027) yields a new equation: % 112.81/81.22 | (1078) all_168_1_70 = all_164_2_65 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1057,1027) yields a new equation: % 112.81/81.22 | (1079) all_168_1_70 = all_164_1_64 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1011,1010) yields a new equation: % 112.81/81.22 | (1080) all_188_0_99 = all_102_2_49 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1009,1010) yields a new equation: % 112.81/81.22 | (1081) all_188_0_99 = all_102_1_48 % 112.81/81.22 | % 112.81/81.22 | Combining equations (991,1043) yields a new equation: % 112.81/81.22 | (1082) all_226_0_134 = all_97_1_45 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1082 yields: % 112.81/81.22 | (1083) all_226_0_134 = all_97_1_45 % 112.81/81.22 | % 112.81/81.22 | Combining equations (995,1070) yields a new equation: % 112.81/81.22 | (1084) all_232_0_141 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1084 yields: % 112.81/81.22 | (1085) all_232_0_141 = all_210_0_126 % 112.81/81.22 | % 112.81/81.22 | Combining equations (949,1055) yields a new equation: % 112.81/81.22 | (1086) all_168_3_72 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (954,1055) yields a new equation: % 112.81/81.22 | (1087) all_168_3_72 = all_164_4_67 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1051,1055) yields a new equation: % 112.81/81.22 | (1088) all_168_3_72 = all_168_4_73 % 112.81/81.22 | % 112.81/81.22 | Combining equations (965,1025) yields a new equation: % 112.81/81.22 | (1089) all_196_4_107 = all_178_2_84 % 112.81/81.22 | % 112.81/81.22 | Combining equations (960,1025) yields a new equation: % 112.81/81.22 | (1090) all_204_4_123 = all_196_4_107 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1090 yields: % 112.81/81.22 | (1091) all_204_4_123 = all_196_4_107 % 112.81/81.22 | % 112.81/81.22 | Combining equations (958,1025) yields a new equation: % 112.81/81.22 | (1092) all_204_3_122 = all_196_4_107 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1092 yields: % 112.81/81.22 | (1093) all_204_3_122 = all_196_4_107 % 112.81/81.22 | % 112.81/81.22 | Combining equations (997,1085) yields a new equation: % 112.81/81.22 | (1094) all_210_0_126 = all_200_0_113 % 112.81/81.22 | % 112.81/81.22 | Combining equations (970,1062) yields a new equation: % 112.81/81.22 | (1095) all_196_1_104 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1095 yields: % 112.81/81.22 | (1096) all_196_1_104 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Combining equations (990,1083) yields a new equation: % 112.81/81.22 | (1097) all_97_1_45 = all_97_2_46 % 112.81/81.22 | % 112.81/81.22 | Combining equations (973,1029) yields a new equation: % 112.81/81.22 | (1098) all_196_2_105 = all_184_0_89 % 112.81/81.22 | % 112.81/81.22 | Combining equations (971,1029) yields a new equation: % 112.81/81.22 | (1099) all_196_1_104 = all_196_2_105 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1099 yields: % 112.81/81.22 | (1100) all_196_1_104 = all_196_2_105 % 112.81/81.22 | % 112.81/81.22 | Combining equations (966,1064) yields a new equation: % 112.81/81.22 | (1101) all_184_3_92 = all_174_1_77 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1093,1064) yields a new equation: % 112.81/81.22 | (1102) all_196_4_107 = all_184_3_92 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1102 yields: % 112.81/81.22 | (1103) all_196_4_107 = all_184_3_92 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1091,1031) yields a new equation: % 112.81/81.22 | (1104) all_196_4_107 = all_178_1_83 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1104 yields: % 112.81/81.22 | (1105) all_196_4_107 = all_178_1_83 % 112.81/81.22 | % 112.81/81.22 | Combining equations (980,1074) yields a new equation: % 112.81/81.22 | (1106) all_198_2_110 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1106 yields: % 112.81/81.22 | (1107) all_198_2_110 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Combining equations (979,982) yields a new equation: % 112.81/81.22 | (1108) all_186_0_94 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (981,982) yields a new equation: % 112.81/81.22 | (1109) all_198_2_110 = all_186_0_94 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1109 yields: % 112.81/81.22 | (1110) all_198_2_110 = all_186_0_94 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1110,1107) yields a new equation: % 112.81/81.22 | (1111) all_186_0_94 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1111 yields: % 112.81/81.22 | (1112) all_186_0_94 = all_186_2_96 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1100,1096) yields a new equation: % 112.81/81.22 | (1113) all_196_2_105 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1113 yields: % 112.81/81.22 | (1114) all_196_2_105 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1098,1114) yields a new equation: % 112.81/81.22 | (1115) all_184_0_89 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1115 yields: % 112.81/81.22 | (1116) all_184_0_89 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1103,1105) yields a new equation: % 112.81/81.22 | (1117) all_184_3_92 = all_178_1_83 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1117 yields: % 112.81/81.22 | (1118) all_184_3_92 = all_178_1_83 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1089,1105) yields a new equation: % 112.81/81.22 | (1119) all_178_1_83 = all_178_2_84 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1081,1080) yields a new equation: % 112.81/81.22 | (1120) all_102_1_48 = all_102_2_49 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1120 yields: % 112.81/81.22 | (1121) all_102_1_48 = all_102_2_49 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1108,1112) yields a new equation: % 112.81/81.22 | (1122) all_186_2_96 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (975,1116) yields a new equation: % 112.81/81.22 | (1123) all_184_2_91 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1123 yields: % 112.81/81.22 | (1124) all_184_2_91 = all_178_4_86 % 112.81/81.22 | % 112.81/81.22 | Combining equations (977,1124) yields a new equation: % 112.81/81.22 | (1125) all_178_4_86 = all_174_3_79 % 112.81/81.22 | % 112.81/81.22 | Combining equations (974,1124) yields a new equation: % 112.81/81.22 | (1126) all_178_4_86 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1118,1101) yields a new equation: % 112.81/81.22 | (1127) all_178_1_83 = all_174_1_77 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1127 yields: % 112.81/81.22 | (1128) all_178_1_83 = all_174_1_77 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1119,1128) yields a new equation: % 112.81/81.22 | (1129) all_178_2_84 = all_174_1_77 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1129 yields: % 112.81/81.22 | (1130) all_178_2_84 = all_174_1_77 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1130,1066) yields a new equation: % 112.81/81.22 | (1131) all_174_1_77 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1131 yields: % 112.81/81.22 | (1132) all_174_1_77 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1126,1125) yields a new equation: % 112.81/81.22 | (1133) all_174_3_79 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1079,1078) yields a new equation: % 112.81/81.22 | (1134) all_164_1_64 = all_164_2_65 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1134 yields: % 112.81/81.22 | (1135) all_164_1_64 = all_164_2_65 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1087,1088) yields a new equation: % 112.81/81.22 | (1136) all_168_4_73 = all_164_4_67 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1086,1088) yields a new equation: % 112.81/81.22 | (1137) all_168_4_73 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1137,1136) yields a new equation: % 112.81/81.22 | (1138) all_164_4_67 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1058,1135) yields a new equation: % 112.81/81.22 | (1139) all_164_2_65 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1040,1041) yields a new equation: % 112.81/81.22 | (1140) all_83_0_38 = all_83_2_40 % 112.81/81.22 | % 112.81/81.22 | Simplifying 1140 yields: % 112.81/81.22 | (1141) all_83_0_38 = all_83_2_40 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1139,1135) yields a new equation: % 112.81/81.22 | (1058) all_164_1_64 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1138,1136) yields a new equation: % 112.81/81.22 | (1137) all_168_4_73 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1133,1125) yields a new equation: % 112.81/81.22 | (1126) all_178_4_86 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1132,1128) yields a new equation: % 112.81/81.22 | (1145) all_178_1_83 = all_15_3_9 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1072,998) yields a new equation: % 112.81/81.22 | (999) all_260_0_171 = all_208_0_125 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1094,996) yields a new equation: % 112.81/81.22 | (1147) all_266_0_174 = all_200_0_113 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1139,943) yields a new equation: % 112.81/81.22 | (1148) all_270_4_184 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1058,1053) yields a new equation: % 112.81/81.22 | (936) all_270_3_183 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1137,1033) yields a new equation: % 112.81/81.22 | (1150) all_272_2_187 = all_0_2_2 % 112.81/81.22 | % 112.81/81.22 | Combining equations (1071,1008) yields a new equation: % 112.81/81.23 | (1151) all_276_0_191 = all_83_2_40 % 112.81/81.23 | % 112.81/81.23 | Combining equations (1075,1004) yields a new equation: % 112.81/81.23 | (1152) all_296_0_201 = all_102_2_49 % 112.81/81.23 | % 112.81/81.23 | Combining equations (1058,942) yields a new equation: % 112.81/81.23 | (1153) all_302_1_205 = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | Combining equations (1126,976) yields a new equation: % 112.81/81.23 | (1154) all_302_0_204 = all_15_3_9 % 112.81/81.23 | % 112.81/81.23 | Combining equations (1150,1023) yields a new equation: % 112.81/81.23 | (1155) all_304_1_209 = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | Combining equations (1145,963) yields a new equation: % 112.81/81.23 | (1156) all_304_0_208 = all_15_3_9 % 112.81/81.23 | % 112.81/81.23 | Equations (986) can reduce 905 to: % 112.81/81.23 | (1157) ~ (all_314_1_221 = sz10) % 112.81/81.23 | % 112.81/81.23 | Equations (1141) can reduce 333 to: % 112.81/81.23 | (1158) ~ (all_83_2_40 = xn) % 112.81/81.23 | % 112.81/81.23 | From (932) and (840) follows: % 112.81/81.23 | (833) sdtasdt0(all_46_0_15, all_0_0_0) = all_270_0_180 % 112.81/81.23 | % 112.81/81.23 | From (933) and (645) follows: % 112.81/81.23 | (639) sdtasdt0(all_46_0_15, xm) = all_174_0_76 % 112.81/81.23 | % 112.81/81.23 | From (934) and (839) follows: % 112.81/81.23 | (832) sdtasdt0(all_0_0_0, all_46_0_15) = all_270_2_182 % 112.81/81.23 | % 112.81/81.23 | From (1139) and (617) follows: % 112.81/81.23 | (128) sdtasdt0(all_0_0_0, xp) = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (1077) and (772) follows: % 112.81/81.23 | (1163) sdtasdt0(all_0_0_0, sz10) = all_0_0_0 % 112.81/81.23 | % 112.81/81.23 | From (1138) and (611) follows: % 112.81/81.23 | (86) sdtasdt0(xp, all_0_0_0) = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (1132) and (641) follows: % 112.81/81.23 | (418) sdtasdt0(xp, xm) = all_15_3_9 % 112.81/81.23 | % 112.81/81.23 | From (1122) and (668) follows: % 112.81/81.23 | (138) sdtasdt0(xm, xn) = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (1076) and (773) follows: % 112.81/81.23 | (1167) sdtasdt0(sz10, all_0_0_0) = all_0_0_0 % 112.81/81.23 | % 112.81/81.23 | From (1155)(1156) and (878) follows: % 112.81/81.23 | (1168) sdtpldt0(all_0_2_2, all_15_3_9) = all_304_2_210 % 112.81/81.23 | % 112.81/81.23 | From (1153)(1154) and (870) follows: % 112.81/81.23 | (1169) sdtpldt0(all_0_2_2, all_15_3_9) = all_302_2_206 % 112.81/81.23 | % 112.81/81.23 | From (1151) and (848) follows: % 112.81/81.23 | (1170) sdtpldt0(all_83_2_40, all_54_0_19) = all_83_2_40 % 112.81/81.23 | % 112.81/81.23 | From (936)(1148) and (835) follows: % 112.81/81.23 | (1171) sdtpldt0(all_0_2_2, all_270_2_182) = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (1075) and (730) follows: % 112.81/81.23 | (1172) sdtpldt0(all_102_2_49, all_52_0_18) = xm % 112.81/81.23 | % 112.81/81.23 | From (1080)(1097) and (671) follows: % 112.81/81.23 | (1173) sdtpldt0(all_102_2_49, xn) = all_97_2_46 % 112.81/81.23 | % 112.81/81.23 | From (1005) and (633) follows: % 112.81/81.23 | (1174) sdtpldt0(xn, all_46_0_15) = xn % 112.81/81.23 | % 112.81/81.23 | From (1041)(1141) and (602) follows: % 112.81/81.23 | (1175) sdtpldt0(all_83_2_40, xp) = all_83_2_40 % 112.81/81.23 | % 112.81/81.23 | From (986) and (901) follows: % 112.81/81.23 | (566) sdtpldt0(all_54_0_19, sz10) = sz10 % 112.81/81.23 | % 112.81/81.23 | From (987) and (914) follows: % 112.81/81.23 | (584) sdtpldt0(all_52_0_18, sz10) = xp % 112.81/81.23 | % 112.81/81.23 | From (988) and (880) follows: % 112.81/81.23 | (869) sdtpldt0(all_0_0_0, xm) = all_302_3_207 % 112.81/81.23 | % 112.81/81.23 | From (1015) and (753) follows: % 112.81/81.23 | (422) sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (999) and (809) follows: % 112.81/81.23 | (1180) sdtpldt0(all_0_4_4, all_208_0_125) = all_97_2_46 % 112.81/81.23 | % 112.81/81.23 | From (1094) and (718) follows: % 112.81/81.23 | (697) sdtpldt0(xp, xp) = all_200_0_113 % 112.81/81.23 | % 112.81/81.23 | From (1072) and (795) follows: % 112.81/81.23 | (715) sdtpldt0(xp, sz10) = all_208_0_125 % 112.81/81.23 | % 112.81/81.23 | From (1147) and (819) follows: % 112.81/81.23 | (1183) sdtpldt0(xm, all_200_0_113) = xm % 112.81/81.23 | % 112.81/81.23 | From (1072) and (796) follows: % 112.81/81.23 | (1184) sdtpldt0(xm, all_208_0_125) = all_102_2_49 % 112.81/81.23 | % 112.81/81.23 | From (1019) and (677) follows: % 112.81/81.23 | (143) sdtpldt0(xm, xn) = all_0_4_4 % 112.81/81.23 | % 112.81/81.23 | From (1000) and (894) follows: % 112.81/81.23 | (886) sdtpldt0(xm, all_0_0_0) = all_306_3_215 % 112.81/81.23 | % 112.81/81.23 | From (1152) and (864) follows: % 112.81/81.23 | (1187) sdtpldt0(xn, all_102_2_49) = all_97_2_46 % 112.81/81.23 | % 112.81/81.23 | From (1020) and (674) follows: % 112.81/81.23 | (12) sdtpldt0(xn, xm) = all_0_4_4 % 112.81/81.23 | % 112.81/81.23 | From (1005) and (634) follows: % 112.81/81.23 | (318) sdtpldt0(xn, xp) = xn % 112.81/81.23 | % 112.81/81.23 | From (1141) and (867) follows: % 112.81/81.23 | (1190) sdtpldt0(sz10, all_300_0_203) = all_83_2_40 % 112.81/81.23 | % 112.81/81.23 | From (1121) and (846) follows: % 112.81/81.23 | (1191) sdtpldt0(sz10, all_274_0_190) = all_102_2_49 % 112.81/81.23 | % 112.81/81.23 | From (1097) and (609) follows: % 112.81/81.23 | (1192) sdtpldt0(sz10, all_162_0_62) = all_97_2_46 % 112.81/81.23 | % 112.81/81.23 | From (986) and (903) follows: % 112.81/81.23 | (1193) sdtlseqdt0(sz10, all_314_1_221) % 112.81/81.23 | % 112.81/81.23 | From (1141) and (334) follows: % 112.81/81.23 | (1194) sdtlseqdt0(all_83_2_40, xn) % 112.81/81.23 | % 112.81/81.23 | From (1015) and (754) follows: % 112.81/81.23 | (438) aNaturalNumber0(all_15_3_9) % 112.81/81.23 | % 112.81/81.23 | From (1016) and (751) follows: % 112.81/81.23 | (20) aNaturalNumber0(xp) % 112.81/81.23 | % 112.81/81.23 | From (1019) and (678) follows: % 112.81/81.23 | (113) aNaturalNumber0(xn) % 112.81/81.23 | % 112.81/81.23 | From (1121) and (517) follows: % 112.81/81.23 | (1198) aNaturalNumber0(all_102_2_49) % 112.81/81.23 | % 112.81/81.23 | From (1141) and (526) follows: % 112.81/81.23 | (1199) aNaturalNumber0(all_83_2_40) % 112.81/81.23 | % 112.81/81.23 | Instantiating formula (77) with all_83_2_40, all_54_0_19, xp, all_83_2_40 and discharging atoms sdtpldt0(all_83_2_40, all_54_0_19) = all_83_2_40, sdtpldt0(all_83_2_40, xp) = all_83_2_40, aNaturalNumber0(all_83_2_40), aNaturalNumber0(all_54_0_19), aNaturalNumber0(xp), yields: % 112.81/81.23 | (1200) all_54_0_19 = xp % 112.81/81.23 | % 112.81/81.23 | Instantiating formula (16) with all_0_2_2, all_15_3_9, all_304_2_210, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, all_15_3_9) = all_304_2_210, sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2, yields: % 112.81/81.23 | (1201) all_304_2_210 = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | Instantiating formula (16) with all_0_2_2, all_15_3_9, all_302_2_206, all_304_2_210 and discharging atoms sdtpldt0(all_0_2_2, all_15_3_9) = all_304_2_210, sdtpldt0(all_0_2_2, all_15_3_9) = all_302_2_206, yields: % 112.81/81.23 | (1202) all_304_2_210 = all_302_2_206 % 112.81/81.23 | % 112.81/81.23 | Instantiating formula (77) with xn, all_46_0_15, xp, xn and discharging atoms sdtpldt0(xn, all_46_0_15) = xn, sdtpldt0(xn, xp) = xn, aNaturalNumber0(all_46_0_15), aNaturalNumber0(xp), aNaturalNumber0(xn), yields: % 112.81/81.23 | (1203) all_46_0_15 = xp % 112.81/81.23 | % 112.81/81.23 | Combining equations (1201,1202) yields a new equation: % 112.81/81.23 | (1204) all_302_2_206 = all_0_2_2 % 112.81/81.23 | % 112.81/81.23 | From (1203) and (833) follows: % 112.81/81.23 | (1205) sdtasdt0(xp, all_0_0_0) = all_270_0_180 % 112.81/81.23 | % 112.81/81.23 | From (1203) and (639) follows: % 112.81/81.23 | (1206) sdtasdt0(xp, xm) = all_174_0_76 % 112.81/81.23 | % 112.81/81.23 | From (1203) and (832) follows: % 112.81/81.23 | (1207) sdtasdt0(all_0_0_0, xp) = all_270_2_182 % 112.81/81.23 | % 112.81/81.23 | From (1200)(1200) and (851) follows: % 112.81/81.23 | (1208) sdtpldt0(xp, xp) = all_278_0_192 % 112.81/81.23 | % 112.81/81.23 | From (1200) and (608) follows: % 112.81/81.23 | (1209) sdtpldt0(xp, all_0_4_4) = all_162_0_62 % 112.81/81.23 | % 112.81/81.23 | From (1200) and (906) follows: % 112.81/81.23 | (1210) sdtpldt0(xp, xp) = all_314_1_221 % 112.81/81.23 | % 112.81/81.23 | From (1200) and (845) follows: % 112.81/81.23 | (1211) sdtpldt0(xp, xm) = all_274_0_190 % 112.81/81.23 | % 112.81/81.23 | From (1200) and (866) follows: % 112.81/81.23 | (1212) sdtpldt0(xp, xn) = all_300_0_203 % 112.81/81.23 | % 112.81/81.23 | From (1200) and (566) follows: % 112.81/81.23 | (1213) sdtpldt0(xp, sz10) = sz10 % 112.81/81.23 | % 112.81/81.23 | From (1203)(1203) and (605) follows: % 112.81/81.23 | (1214) sdtpldt0(xp, xp) = all_154_0_58 % 112.81/81.23 | % 112.81/81.23 | From (1203) and (630) follows: % 112.81/81.23 | (1215) sdtpldt0(xp, all_0_4_4) = all_170_0_74 % 112.81/81.23 | % 112.81/81.23 | From (1203) and (925) follows: % 112.81/81.24 | (1216) sdtpldt0(xp, sz10) = all_324_2_228 % 112.81/81.24 | % 112.81/81.24 | From (1204) and (1169) follows: % 112.81/81.24 | (422) sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1200) and (907) follows: % 112.81/81.24 | (1218) sdtpldt0(xp, xp) = all_314_0_220 % 112.81/81.24 | % 112.81/81.24 | From (1203) and (259) follows: % 112.81/81.24 | (1219) sdtpldt0(xp, xp) = xp % 112.81/81.24 | % 112.81/81.24 | From (1203) and (260) follows: % 112.81/81.24 | (20) aNaturalNumber0(xp) % 112.81/81.24 | % 112.81/81.24 +-Applying beta-rule and splitting (593), into two cases. % 112.81/81.24 |-Branch one: % 112.81/81.24 | (1221) all_46_0_15 = sz00 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1203,1221) yields a new equation: % 112.81/81.24 | (1222) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Simplifying 1222 yields: % 112.81/81.24 | (173) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Equations (173) can reduce 37 to: % 112.81/81.24 | (174) $false % 112.81/81.24 | % 112.81/81.24 |-The branch is then unsatisfiable % 112.81/81.24 |-Branch two: % 112.81/81.24 | (1225) ~ (all_46_0_15 = sz00) % 112.81/81.24 | (1226) all_46_0_15 = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_46_0_15) & aNaturalNumber0(v0)) % 112.81/81.24 | % 112.81/81.24 | Equations (1203) can reduce 1225 to: % 112.81/81.24 | (37) ~ (xp = sz00) % 112.81/81.24 | % 112.81/81.24 +-Applying beta-rule and splitting (572), into two cases. % 112.81/81.24 |-Branch one: % 112.81/81.24 | (1228) all_54_0_19 = sz00 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1200,1228) yields a new equation: % 112.81/81.24 | (1222) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Simplifying 1222 yields: % 112.81/81.24 | (173) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Equations (173) can reduce 37 to: % 112.81/81.24 | (174) $false % 112.81/81.24 | % 112.81/81.24 |-The branch is then unsatisfiable % 112.81/81.24 |-Branch two: % 112.81/81.24 | (1232) ~ (all_54_0_19 = sz00) % 112.81/81.24 | (1233) all_54_0_19 = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_54_0_19) & aNaturalNumber0(v0)) % 112.81/81.24 | % 112.81/81.24 | Equations (1200) can reduce 1232 to: % 112.81/81.24 | (37) ~ (xp = sz00) % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (49) with all_0_0_0, xp, all_270_2_182, all_0_2_2 and discharging atoms sdtasdt0(all_0_0_0, xp) = all_270_2_182, sdtasdt0(all_0_0_0, xp) = all_0_2_2, yields: % 112.81/81.24 | (1235) all_270_2_182 = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (49) with xp, all_0_0_0, all_270_0_180, all_0_2_2 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_270_0_180, sdtasdt0(xp, all_0_0_0) = all_0_2_2, yields: % 112.81/81.24 | (1236) all_270_0_180 = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (49) with xp, xm, all_174_0_76, all_15_3_9 and discharging atoms sdtasdt0(xp, xm) = all_174_0_76, sdtasdt0(xp, xm) = all_15_3_9, yields: % 112.81/81.24 | (1237) all_174_0_76 = all_15_3_9 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, all_0_4_4, all_170_0_74, all_0_4_4 and discharging atoms sdtpldt0(xp, all_0_4_4) = all_170_0_74, sdtpldt0(xp, all_0_4_4) = all_0_4_4, yields: % 112.81/81.24 | (1238) all_170_0_74 = all_0_4_4 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, all_0_4_4, all_162_0_62, all_170_0_74 and discharging atoms sdtpldt0(xp, all_0_4_4) = all_170_0_74, sdtpldt0(xp, all_0_4_4) = all_162_0_62, yields: % 112.81/81.24 | (1239) all_170_0_74 = all_162_0_62 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xp, all_314_0_220, all_200_0_113 and discharging atoms sdtpldt0(xp, xp) = all_314_0_220, sdtpldt0(xp, xp) = all_200_0_113, yields: % 112.81/81.24 | (1240) all_314_0_220 = all_200_0_113 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xp, all_314_1_221, all_200_0_113 and discharging atoms sdtpldt0(xp, xp) = all_314_1_221, sdtpldt0(xp, xp) = all_200_0_113, yields: % 112.81/81.24 | (1241) all_314_1_221 = all_200_0_113 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xp, all_278_0_192, all_314_1_221 and discharging atoms sdtpldt0(xp, xp) = all_314_1_221, sdtpldt0(xp, xp) = all_278_0_192, yields: % 112.81/81.24 | (1242) all_314_1_221 = all_278_0_192 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xp, all_154_0_58, all_314_0_220 and discharging atoms sdtpldt0(xp, xp) = all_314_0_220, sdtpldt0(xp, xp) = all_154_0_58, yields: % 112.81/81.24 | (1243) all_314_0_220 = all_154_0_58 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xp, xp, all_314_1_221 and discharging atoms sdtpldt0(xp, xp) = all_314_1_221, sdtpldt0(xp, xp) = xp, yields: % 112.81/81.24 | (1244) all_314_1_221 = xp % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xm, all_274_0_190, xm and discharging atoms sdtpldt0(xp, xm) = all_274_0_190, sdtpldt0(xp, xm) = xm, yields: % 112.81/81.24 | (1245) all_274_0_190 = xm % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, xn, all_300_0_203, xn and discharging atoms sdtpldt0(xp, xn) = all_300_0_203, sdtpldt0(xp, xn) = xn, yields: % 112.81/81.24 | (1246) all_300_0_203 = xn % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, sz10, all_324_2_228, all_208_0_125 and discharging atoms sdtpldt0(xp, sz10) = all_324_2_228, sdtpldt0(xp, sz10) = all_208_0_125, yields: % 112.81/81.24 | (1247) all_324_2_228 = all_208_0_125 % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (16) with xp, sz10, sz10, all_324_2_228 and discharging atoms sdtpldt0(xp, sz10) = all_324_2_228, sdtpldt0(xp, sz10) = sz10, yields: % 112.81/81.24 | (1248) all_324_2_228 = sz10 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1248,1247) yields a new equation: % 112.81/81.24 | (1249) all_208_0_125 = sz10 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1240,1243) yields a new equation: % 112.81/81.24 | (1250) all_200_0_113 = all_154_0_58 % 112.81/81.24 | % 112.81/81.24 | Simplifying 1250 yields: % 112.81/81.24 | (1251) all_200_0_113 = all_154_0_58 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1244,1242) yields a new equation: % 112.81/81.24 | (1252) all_278_0_192 = xp % 112.81/81.24 | % 112.81/81.24 | Combining equations (1241,1242) yields a new equation: % 112.81/81.24 | (1253) all_278_0_192 = all_200_0_113 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1253,1252) yields a new equation: % 112.81/81.24 | (1254) all_200_0_113 = xp % 112.81/81.24 | % 112.81/81.24 | Simplifying 1254 yields: % 112.81/81.24 | (1255) all_200_0_113 = xp % 112.81/81.24 | % 112.81/81.24 | Combining equations (1255,1251) yields a new equation: % 112.81/81.24 | (1256) all_154_0_58 = xp % 112.81/81.24 | % 112.81/81.24 | Combining equations (1239,1238) yields a new equation: % 112.81/81.24 | (1257) all_162_0_62 = all_0_4_4 % 112.81/81.24 | % 112.81/81.24 | Simplifying 1257 yields: % 112.81/81.24 | (1258) all_162_0_62 = all_0_4_4 % 112.81/81.24 | % 112.81/81.24 | Combining equations (1256,1251) yields a new equation: % 112.81/81.24 | (1255) all_200_0_113 = xp % 112.81/81.24 | % 112.81/81.24 | Combining equations (1252,1242) yields a new equation: % 112.81/81.24 | (1244) all_314_1_221 = xp % 112.81/81.24 | % 112.81/81.24 | Equations (1244) can reduce 1157 to: % 112.81/81.24 | (18) ~ (xp = sz10) % 112.81/81.24 | % 112.81/81.24 | From (1235) and (1207) follows: % 112.81/81.24 | (128) sdtasdt0(all_0_0_0, xp) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1236) and (1205) follows: % 112.81/81.24 | (86) sdtasdt0(xp, all_0_0_0) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1237) and (1206) follows: % 112.81/81.24 | (418) sdtasdt0(xp, xm) = all_15_3_9 % 112.81/81.24 | % 112.81/81.24 | From (1235) and (1171) follows: % 112.81/81.24 | (1265) sdtpldt0(all_0_2_2, all_0_2_2) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1249) and (1180) follows: % 112.81/81.24 | (363) sdtpldt0(all_0_4_4, sz10) = all_97_2_46 % 112.81/81.24 | % 112.81/81.24 | From (1256) and (1214) follows: % 112.81/81.24 | (1219) sdtpldt0(xp, xp) = xp % 112.81/81.24 | % 112.81/81.24 | From (1249) and (715) follows: % 112.81/81.24 | (1213) sdtpldt0(xp, sz10) = sz10 % 112.81/81.24 | % 112.81/81.24 | From (1249) and (1184) follows: % 112.81/81.24 | (376) sdtpldt0(xm, sz10) = all_102_2_49 % 112.81/81.24 | % 112.81/81.24 | From (1255) and (1183) follows: % 112.81/81.24 | (451) sdtpldt0(xm, xp) = xm % 112.81/81.24 | % 112.81/81.24 | From (1249) and (716) follows: % 112.81/81.24 | (337) sdtpldt0(xn, sz10) = all_83_2_40 % 112.81/81.24 | % 112.81/81.24 | From (1246) and (1190) follows: % 112.81/81.24 | (504) sdtpldt0(sz10, xn) = all_83_2_40 % 112.81/81.24 | % 112.81/81.24 | From (1245) and (1191) follows: % 112.81/81.24 | (494) sdtpldt0(sz10, xm) = all_102_2_49 % 112.81/81.24 | % 112.81/81.24 | From (1258) and (1192) follows: % 112.81/81.24 | (1274) sdtpldt0(sz10, all_0_4_4) = all_97_2_46 % 112.81/81.24 | % 112.81/81.24 | From (1244) and (1193) follows: % 112.81/81.24 | (172) sdtlseqdt0(sz10, xp) % 112.81/81.24 | % 112.81/81.24 | Instantiating formula (77) with all_0_2_2, all_15_3_9, all_0_2_2, all_0_2_2 and discharging atoms sdtpldt0(all_0_2_2, all_15_3_9) = all_0_2_2, sdtpldt0(all_0_2_2, all_0_2_2) = all_0_2_2, aNaturalNumber0(all_15_3_9), aNaturalNumber0(all_0_2_2), yields: % 112.81/81.24 | (1276) all_15_3_9 = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1276) and (418) follows: % 112.81/81.24 | (1277) sdtasdt0(xp, xm) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1276) and (596) follows: % 112.81/81.24 | (1278) sdtpldt0(xm, all_142_0_52) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 +-Applying beta-rule and splitting (202), into two cases. % 112.81/81.24 |-Branch one: % 112.81/81.24 | (173) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Equations (173) can reduce 37 to: % 112.81/81.24 | (174) $false % 112.81/81.24 | % 112.81/81.24 |-The branch is then unsatisfiable % 112.81/81.24 |-Branch two: % 112.81/81.24 | (37) ~ (xp = sz00) % 112.81/81.24 | (1282) all_0_0_0 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, all_0_0_0) = v1 & sdtasdt0(xp, xm) = v0) % 112.81/81.24 | % 112.81/81.24 +-Applying beta-rule and splitting (189), into two cases. % 112.81/81.24 |-Branch one: % 112.81/81.24 | (173) xp = sz00 % 112.81/81.24 | % 112.81/81.24 | Equations (173) can reduce 37 to: % 112.81/81.24 | (174) $false % 112.81/81.24 | % 112.81/81.24 |-The branch is then unsatisfiable % 112.81/81.24 |-Branch two: % 112.81/81.24 | (37) ~ (xp = sz00) % 112.81/81.24 | (1286) all_0_0_0 = xm | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xm, xp) = v0) % 112.81/81.24 | % 112.81/81.24 +-Applying beta-rule and splitting (1282), into two cases. % 112.81/81.24 |-Branch one: % 112.81/81.24 | (1287) all_0_0_0 = xm % 112.81/81.24 | % 112.81/81.24 | From (1287) and (724) follows: % 112.81/81.24 | (1288) sdtasdt0(xm, all_214_0_128) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1287) and (128) follows: % 112.81/81.24 | (1289) sdtasdt0(xm, xp) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1287)(1287) and (1163) follows: % 112.81/81.24 | (1290) sdtasdt0(xm, sz10) = xm % 112.81/81.24 | % 112.81/81.24 | From (1287) and (86) follows: % 112.81/81.24 | (1277) sdtasdt0(xp, xm) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1287)(1287) and (1167) follows: % 112.81/81.24 | (1292) sdtasdt0(sz10, xm) = xm % 112.81/81.24 | % 112.81/81.24 | From (1287) and (756) follows: % 112.81/81.24 | (1293) sdtpldt0(xm, all_238_0_144) = all_0_2_2 % 112.81/81.24 | % 112.81/81.24 | From (1287)(1287) and (653) follows: % 112.81/81.24 | (1294) sdtpldt0(xm, all_180_0_87) = xm % 112.81/81.24 | % 112.81/81.24 | From (1287)(1287) and (271) follows: % 112.81/81.24 | (1295) sdtpldt0(xm, all_56_0_20) = xm % 112.81/81.24 | % 112.81/81.24 | From (1287) and (869) follows: % 112.81/81.25 | (1296) sdtpldt0(xm, xm) = all_302_3_207 % 112.81/81.25 | % 112.81/81.25 | From (1287) and (886) follows: % 112.81/81.25 | (1297) sdtpldt0(xm, xm) = all_306_3_215 % 112.81/81.25 | % 112.81/81.25 | From (1287) and (116) follows: % 112.81/81.25 | (107) aNaturalNumber0(xm) % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (29) with all_0_2_2, all_214_0_128, all_212_0_127, xm and discharging atoms sdtasdt0(xm, all_214_0_128) = all_0_2_2, sdtasdt0(xm, all_212_0_127) = all_0_2_2, aNaturalNumber0(all_214_0_128), aNaturalNumber0(all_212_0_127), aNaturalNumber0(xm), yields: % 112.81/81.25 | (1299) all_214_0_128 = all_212_0_127 | xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (29) with all_0_2_2, all_214_0_128, xn, xm and discharging atoms sdtasdt0(xm, all_214_0_128) = all_0_2_2, sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(all_214_0_128), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.25 | (1300) all_214_0_128 = xn | xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (29) with all_0_2_2, all_212_0_127, xp, xm and discharging atoms sdtasdt0(xm, all_212_0_127) = all_0_2_2, sdtasdt0(xm, xp) = all_0_2_2, aNaturalNumber0(all_212_0_127), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.81/81.25 | (1301) all_212_0_127 = xp | xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (29) with all_0_2_2, xp, xn, xm and discharging atoms sdtasdt0(xm, xp) = all_0_2_2, sdtasdt0(xm, xn) = all_0_2_2, aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 112.81/81.25 | (1302) xp = xn | xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (77) with all_0_2_2, all_238_0_144, all_142_0_52, xm and discharging atoms sdtpldt0(xm, all_238_0_144) = all_0_2_2, sdtpldt0(xm, all_142_0_52) = all_0_2_2, aNaturalNumber0(all_238_0_144), aNaturalNumber0(all_142_0_52), aNaturalNumber0(xm), yields: % 112.81/81.25 | (1303) all_238_0_144 = all_142_0_52 % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (77) with xm, all_56_0_20, xp, xm and discharging atoms sdtpldt0(xm, all_56_0_20) = xm, sdtpldt0(xm, xp) = xm, aNaturalNumber0(all_56_0_20), aNaturalNumber0(xp), aNaturalNumber0(xm), yields: % 112.81/81.25 | (1304) all_56_0_20 = xp % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (16) with xm, xm, all_302_3_207, all_306_3_215 and discharging atoms sdtpldt0(xm, xm) = all_306_3_215, sdtpldt0(xm, xm) = all_302_3_207, yields: % 112.81/81.25 | (1305) all_306_3_215 = all_302_3_207 % 112.81/81.25 | % 112.81/81.25 | From (1304)(1304) and (652) follows: % 112.81/81.25 | (1306) sdtpldt0(xp, xp) = all_180_0_87 % 112.81/81.25 | % 112.81/81.25 | From (1303) and (1293) follows: % 112.81/81.25 | (1278) sdtpldt0(xm, all_142_0_52) = all_0_2_2 % 112.81/81.25 | % 112.81/81.25 | From (1305) and (1297) follows: % 112.81/81.25 | (1296) sdtpldt0(xm, xm) = all_302_3_207 % 112.81/81.25 | % 112.81/81.25 | From (1303) and (757) follows: % 112.81/81.25 | (597) aNaturalNumber0(all_142_0_52) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (556), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1310) all_56_0_20 = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1304,1310) yields a new equation: % 112.81/81.25 | (1222) xp = sz00 % 112.81/81.25 | % 112.81/81.25 | Simplifying 1222 yields: % 112.81/81.25 | (173) xp = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (173) can reduce 37 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1314) ~ (all_56_0_20 = sz00) % 112.81/81.25 | (1315) all_56_0_20 = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_56_0_20) & aNaturalNumber0(v0)) % 112.81/81.25 | % 112.81/81.25 | Equations (1304) can reduce 1314 to: % 112.81/81.25 | (37) ~ (xp = sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (1315), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1317) all_56_0_20 = sz10 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1304,1317) yields a new equation: % 112.81/81.25 | (1318) xp = sz10 % 112.81/81.25 | % 112.81/81.25 | Simplifying 1318 yields: % 112.81/81.25 | (177) xp = sz10 % 112.81/81.25 | % 112.81/81.25 | Equations (177) can reduce 18 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1321) ~ (all_56_0_20 = sz10) % 112.81/81.25 | (1322) ? [v0] : (isPrime0(v0) & doDivides0(v0, all_56_0_20) & aNaturalNumber0(v0)) % 112.81/81.25 | % 112.81/81.25 | Equations (1304) can reduce 1321 to: % 112.81/81.25 | (18) ~ (xp = sz10) % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (16) with xp, xp, all_180_0_87, xp and discharging atoms sdtpldt0(xp, xp) = all_180_0_87, sdtpldt0(xp, xp) = xp, yields: % 112.81/81.25 | (1324) all_180_0_87 = xp % 112.81/81.25 | % 112.81/81.25 | From (1324) and (1294) follows: % 112.81/81.25 | (451) sdtpldt0(xm, xp) = xm % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (152), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1326) sdtlseqdt0(xm, sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (153), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1327) sdtlseqdt0(sz10, sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (150), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1328) sdtlseqdt0(xr, sz00) % 112.81/81.25 | % 112.81/81.25 | From (310) and (1328) follows: % 112.81/81.25 | (1329) sdtlseqdt0(xn, sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (151), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1330) sdtlseqdt0(xp, sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (148), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1331) sdtlseqdt0(xm, sz10) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (123), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1332) sdtlseqdt0(sz10, all_0_0_0) % 112.81/81.25 | % 112.81/81.25 | From (1287) and (1332) follows: % 112.81/81.25 | (1333) sdtlseqdt0(sz10, xm) % 112.81/81.25 | % 112.81/81.25 | Instantiating formula (2) with xm, sz10 and discharging atoms sdtlseqdt0(xm, sz10), sdtlseqdt0(sz10, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 112.81/81.25 | (1334) xm = sz10 % 112.81/81.25 | % 112.81/81.25 | From (1334) and (479) follows: % 112.81/81.25 | (1335) sdtlseqdt0(xp, sz10) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (1301), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1336) xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1336,1334) yields a new equation: % 112.81/81.25 | (1337) sz10 = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (1337) can reduce 88 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1339) ~ (xm = sz00) % 112.81/81.25 | (1340) all_212_0_127 = xp % 112.81/81.25 | % 112.81/81.25 | Equations (1334) can reduce 1339 to: % 112.81/81.25 | (88) ~ (sz10 = sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (201), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1336) xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1336,1334) yields a new equation: % 112.81/81.25 | (1337) sz10 = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (1337) can reduce 88 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1339) ~ (xm = sz00) % 112.81/81.25 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 112.81/81.25 | % 112.81/81.25 | Equations (1334) can reduce 1339 to: % 112.81/81.25 | (88) ~ (sz10 = sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (210), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1336) xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1336,1334) yields a new equation: % 112.81/81.25 | (1337) sz10 = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (1337) can reduce 88 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1339) ~ (xm = sz00) % 112.81/81.25 | (1352) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 112.81/81.25 | % 112.81/81.25 | Equations (1334) can reduce 1339 to: % 112.81/81.25 | (88) ~ (sz10 = sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (203), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1336) xm = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (1336,1334) yields a new equation: % 112.81/81.25 | (1337) sz10 = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (1337) can reduce 88 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1339) ~ (xm = sz00) % 112.81/81.25 | (1358) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 112.81/81.25 | % 112.81/81.25 | Equations (1334) can reduce 1339 to: % 112.81/81.25 | (88) ~ (sz10 = sz00) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (1358), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1360) xr = xp % 112.81/81.25 | % 112.81/81.25 | Combining equations (310,1360) yields a new equation: % 112.81/81.25 | (1361) xp = xn % 112.81/81.25 | % 112.81/81.25 | Combining equations (1361,1360) yields a new equation: % 112.81/81.25 | (310) xr = xn % 112.81/81.25 | % 112.81/81.25 | Combining equations (1361,1200) yields a new equation: % 112.81/81.25 | (1363) all_54_0_19 = xn % 112.81/81.25 | % 112.81/81.25 | Equations (1361) can reduce 18 to: % 112.81/81.25 | (1364) ~ (xn = sz10) % 112.81/81.25 | % 112.81/81.25 | Equations (1361) can reduce 37 to: % 112.81/81.25 | (1365) ~ (xn = sz00) % 112.81/81.25 | % 112.81/81.25 | From (1361) and (1335) follows: % 112.81/81.25 | (1366) sdtlseqdt0(xn, sz10) % 112.81/81.25 | % 112.81/81.25 | From (1361) and (172) follows: % 112.81/81.25 | (239) sdtlseqdt0(sz10, xn) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (216), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1368) xp = xm % 112.81/81.25 | % 112.81/81.25 | Combining equations (1368,1361) yields a new equation: % 112.81/81.25 | (1369) xm = xn % 112.81/81.25 | % 112.81/81.25 | Simplifying 1369 yields: % 112.81/81.25 | (1370) xm = xn % 112.81/81.25 | % 112.81/81.25 | Combining equations (1370,1334) yields a new equation: % 112.81/81.25 | (1371) xn = sz10 % 112.81/81.25 | % 112.81/81.25 | Simplifying 1371 yields: % 112.81/81.25 | (1372) xn = sz10 % 112.81/81.25 | % 112.81/81.25 | Equations (1372) can reduce 1364 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1374) ~ (xp = xm) % 112.81/81.25 | (1375) ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_17_0_11) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xm, xr) = v1) % 112.81/81.25 | % 112.81/81.25 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.25 | (1364) ~ (xn = sz10) % 112.81/81.25 | % 112.81/81.25 +-Applying beta-rule and splitting (127), into two cases. % 112.81/81.25 |-Branch one: % 112.81/81.25 | (1377) xr = sz00 % 112.81/81.25 | % 112.81/81.25 | Combining equations (310,1377) yields a new equation: % 112.81/81.25 | (1378) xn = sz00 % 112.81/81.25 | % 112.81/81.25 | Simplifying 1378 yields: % 112.81/81.25 | (1379) xn = sz00 % 112.81/81.25 | % 112.81/81.25 | Equations (1379) can reduce 1365 to: % 112.81/81.25 | (174) $false % 112.81/81.25 | % 112.81/81.25 |-The branch is then unsatisfiable % 112.81/81.25 |-Branch two: % 112.81/81.25 | (1381) ~ (xr = sz00) % 112.81/81.25 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 112.81/81.25 | % 112.81/81.25 | Equations (310) can reduce 1381 to: % 112.81/81.26 | (1365) ~ (xn = sz00) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (509), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (147), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1379) xn = sz00 % 112.81/81.26 | % 112.81/81.26 | Equations (1379) can reduce 1365 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1365) ~ (xn = sz00) % 112.81/81.26 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (1382), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1392) xr = sz10 % 112.81/81.26 | % 112.81/81.26 | Combining equations (310,1392) yields a new equation: % 112.81/81.26 | (1371) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Simplifying 1371 yields: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1396) ~ (xr = sz10) % 112.81/81.26 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 112.81/81.26 | % 112.81/81.26 | Equations (310) can reduce 1396 to: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (217), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1368) xp = xm % 112.81/81.26 | % 112.81/81.26 | Combining equations (1368,1361) yields a new equation: % 112.81/81.26 | (1369) xm = xn % 112.81/81.26 | % 112.81/81.26 | Simplifying 1369 yields: % 112.81/81.26 | (1370) xm = xn % 112.81/81.26 | % 112.81/81.26 | Combining equations (1370,1334) yields a new equation: % 112.81/81.26 | (1371) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Simplifying 1371 yields: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1374) ~ (xp = xm) % 112.81/81.26 | (1406) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v1 & sdtpldt0(xm, xr) = v0) % 112.81/81.26 | % 112.81/81.26 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (544), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (1021), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1379) xn = sz00 % 112.81/81.26 | % 112.81/81.26 | Equations (1379) can reduce 1365 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1365) ~ (xn = sz00) % 112.81/81.26 | (1415) all_146_0_54 = xm % 112.81/81.26 | % 112.81/81.26 | Combining equations (1334,1415) yields a new equation: % 112.81/81.26 | (1416) all_146_0_54 = sz10 % 112.81/81.26 | % 112.81/81.26 | From (1416) and (600) follows: % 112.81/81.26 | (52) aNaturalNumber0(sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (543), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (500), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1370) xm = xn % 112.81/81.26 | % 112.81/81.26 | Combining equations (1370,1334) yields a new equation: % 112.81/81.26 | (1371) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Simplifying 1371 yields: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1426) ~ (xm = xn) % 112.81/81.26 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 112.81/81.26 | % 112.81/81.26 | Equations (1334) can reduce 1426 to: % 112.81/81.26 | (1428) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 | Simplifying 1428 yields: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (547), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (563), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1434) all_54_0_19 = xm % 112.81/81.26 | % 112.81/81.26 | Combining equations (1363,1434) yields a new equation: % 112.81/81.26 | (1370) xm = xn % 112.81/81.26 | % 112.81/81.26 | Combining equations (1334,1370) yields a new equation: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1438) ~ (all_54_0_19 = xm) % 112.81/81.26 | (1439) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 112.81/81.26 | % 112.81/81.26 | Equations (1363,1334) can reduce 1438 to: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (501), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1370) xm = xn % 112.81/81.26 | % 112.81/81.26 | Combining equations (1370,1334) yields a new equation: % 112.81/81.26 | (1371) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Simplifying 1371 yields: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1426) ~ (xm = xn) % 112.81/81.26 | (1446) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 112.81/81.26 | % 112.81/81.26 | Equations (1334) can reduce 1426 to: % 112.81/81.26 | (1428) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 | Simplifying 1428 yields: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (542), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (1391), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (514), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1370) xm = xn % 112.81/81.26 | % 112.81/81.26 | Combining equations (1370,1334) yields a new equation: % 112.81/81.26 | (1371) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Simplifying 1371 yields: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1426) ~ (xm = xn) % 112.81/81.26 | (1462) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 112.81/81.26 | % 112.81/81.26 | Equations (1334) can reduce 1426 to: % 112.81/81.26 | (1428) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 | Simplifying 1428 yields: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (549), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (489), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1372) xn = sz10 % 112.81/81.26 | % 112.81/81.26 | Equations (1372) can reduce 1364 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1364) ~ (xn = sz10) % 112.81/81.26 | (1472) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xm) = v1) % 112.81/81.26 | % 112.81/81.26 +-Applying beta-rule and splitting (1300), into two cases. % 112.81/81.26 |-Branch one: % 112.81/81.26 | (1336) xm = sz00 % 112.81/81.26 | % 112.81/81.26 | Combining equations (1336,1334) yields a new equation: % 112.81/81.26 | (1337) sz10 = sz00 % 112.81/81.26 | % 112.81/81.26 | Equations (1337) can reduce 88 to: % 112.81/81.26 | (174) $false % 112.81/81.26 | % 112.81/81.26 |-The branch is then unsatisfiable % 112.81/81.26 |-Branch two: % 112.81/81.26 | (1339) ~ (xm = sz00) % 112.81/81.26 | (1477) all_214_0_128 = xn % 112.81/81.26 | % 112.81/81.26 | From (1477) and (725) follows: % 112.81/81.27 | (113) aNaturalNumber0(xn) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (557), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1434) all_54_0_19 = xm % 112.81/81.27 | % 112.81/81.27 | Combining equations (1434,1363) yields a new equation: % 112.81/81.27 | (1369) xm = xn % 112.81/81.27 | % 112.81/81.27 | Simplifying 1369 yields: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1334,1370) yields a new equation: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1438) ~ (all_54_0_19 = xm) % 112.81/81.27 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 112.81/81.27 | % 112.81/81.27 | Equations (1363,1334) can reduce 1438 to: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (510), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (481), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1368) xp = xm % 112.81/81.27 | % 112.81/81.27 | Combining equations (1361,1368) yields a new equation: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1370,1334) yields a new equation: % 112.81/81.27 | (1371) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Simplifying 1371 yields: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1374) ~ (xp = xm) % 112.81/81.27 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 112.81/81.27 | % 112.81/81.27 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (551), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (524), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1334,1370) yields a new equation: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1426) ~ (xm = xn) % 112.81/81.27 | (1507) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 112.81/81.27 | % 112.81/81.27 | Equations (1334) can reduce 1426 to: % 112.81/81.27 | (1428) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 | Simplifying 1428 yields: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (569), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1434) all_54_0_19 = xm % 112.81/81.27 | % 112.81/81.27 | Combining equations (1434,1363) yields a new equation: % 112.81/81.27 | (1369) xm = xn % 112.81/81.27 | % 112.81/81.27 | Simplifying 1369 yields: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1334,1370) yields a new equation: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1438) ~ (all_54_0_19 = xm) % 112.81/81.27 | (1516) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 112.81/81.27 | % 112.81/81.27 | Equations (1363,1334) can reduce 1438 to: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (218), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1368) xp = xm % 112.81/81.27 | % 112.81/81.27 | Combining equations (1361,1368) yields a new equation: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1370,1334) yields a new equation: % 112.81/81.27 | (1371) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Simplifying 1371 yields: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1374) ~ (xp = xm) % 112.81/81.27 | (1524) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v0 & sdtpldt0(xm, xr) = v1) % 112.81/81.27 | % 112.81/81.27 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (490), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (548), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (550), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (495), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1368) xp = xm % 112.81/81.27 | % 112.81/81.27 | Combining equations (1361,1368) yields a new equation: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1370,1334) yields a new equation: % 112.81/81.27 | (1371) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Simplifying 1371 yields: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1374) ~ (xp = xm) % 112.81/81.27 | (1544) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = xn) & sdtpldt0(xp, xn) = v1 & sdtpldt0(xn, xm) = v0) % 112.81/81.27 | % 112.81/81.27 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (583), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1364) ~ (xn = sz10) % 112.81/81.27 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 112.81/81.27 | % 112.81/81.27 +-Applying beta-rule and splitting (523), into two cases. % 112.81/81.27 |-Branch one: % 112.81/81.27 | (1370) xm = xn % 112.81/81.27 | % 112.81/81.27 | Combining equations (1334,1370) yields a new equation: % 112.81/81.27 | (1372) xn = sz10 % 112.81/81.27 | % 112.81/81.27 | Equations (1372) can reduce 1364 to: % 112.81/81.27 | (174) $false % 112.81/81.27 | % 112.81/81.27 |-The branch is then unsatisfiable % 112.81/81.27 |-Branch two: % 112.81/81.27 | (1426) ~ (xm = xn) % 112.81/81.27 | (1554) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(xn, sz10) = v0) % 112.81/81.27 | % 112.81/81.28 | Equations (1334) can reduce 1426 to: % 112.81/81.28 | (1428) ~ (xn = sz10) % 112.81/81.28 | % 112.81/81.28 | Simplifying 1428 yields: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (480), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1368) xp = xm % 112.81/81.28 | % 112.81/81.28 | Combining equations (1361,1368) yields a new equation: % 112.81/81.28 | (1370) xm = xn % 112.81/81.28 | % 112.81/81.28 | Combining equations (1370,1334) yields a new equation: % 112.81/81.28 | (1371) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Simplifying 1371 yields: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1374) ~ (xp = xm) % 112.81/81.28 | (1563) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xm) = v0) % 112.81/81.28 | % 112.81/81.28 | Equations (1361,1334) can reduce 1374 to: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (546), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | (1568) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_83_2_40, v0)) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (488), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (511), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (521), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1370) xm = xn % 112.81/81.28 | % 112.81/81.28 | Combining equations (1334,1370) yields a new equation: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1426) ~ (xm = xn) % 112.81/81.28 | (1581) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 112.81/81.28 | % 112.81/81.28 | Equations (1334) can reduce 1426 to: % 112.81/81.28 | (1428) ~ (xn = sz10) % 112.81/81.28 | % 112.81/81.28 | Simplifying 1428 yields: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (545), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1364) ~ (xn = sz10) % 112.81/81.28 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 112.81/81.28 | % 112.81/81.28 | Instantiating formula (2) with xn, sz10 and discharging atoms sdtlseqdt0(xn, sz10), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 112.81/81.28 | (1372) xn = sz10 % 112.81/81.28 | % 112.81/81.28 | Equations (1372) can reduce 1364 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1590) ~ (xr = xp) % 112.81/81.28 | (1591) ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 112.81/81.28 | % 112.81/81.28 | Equations (310) can reduce 1590 to: % 112.81/81.28 | (1592) ~ (xp = xn) % 112.81/81.28 | % 112.81/81.28 | Simplifying 1592 yields: % 112.81/81.28 | (1593) ~ (xp = xn) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (142), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1361) xp = xn % 112.81/81.28 | % 112.81/81.28 | Equations (1361) can reduce 1593 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1593) ~ (xp = xn) % 112.81/81.28 | (1597) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (209), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1336) xm = sz00 % 112.81/81.28 | % 112.81/81.28 | Combining equations (1336,1334) yields a new equation: % 112.81/81.28 | (1337) sz10 = sz00 % 112.81/81.28 | % 112.81/81.28 | Equations (1337) can reduce 88 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1339) ~ (xm = sz00) % 112.81/81.28 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 112.81/81.28 | % 112.81/81.28 | Equations (1334) can reduce 1339 to: % 112.81/81.28 | (88) ~ (sz10 = sz00) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (571), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1363) all_54_0_19 = xn % 112.81/81.28 | % 112.81/81.28 | Combining equations (1200,1363) yields a new equation: % 112.81/81.28 | (1605) xp = xn % 112.81/81.28 | % 112.81/81.28 | Simplifying 1605 yields: % 112.81/81.28 | (1361) xp = xn % 112.81/81.28 | % 112.81/81.28 | Equations (1361) can reduce 1593 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1608) ~ (all_54_0_19 = xn) % 112.81/81.28 | (1609) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 112.81/81.28 | % 112.81/81.28 | Equations (1200) can reduce 1608 to: % 112.81/81.28 | (1593) ~ (xp = xn) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (190), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1336) xm = sz00 % 112.81/81.28 | % 112.81/81.28 | Combining equations (1336,1334) yields a new equation: % 112.81/81.28 | (1337) sz10 = sz00 % 112.81/81.28 | % 112.81/81.28 | Equations (1337) can reduce 88 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1339) ~ (xm = sz00) % 112.81/81.28 | (1615) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 112.81/81.28 | % 112.81/81.28 | Equations (1334) can reduce 1339 to: % 112.81/81.28 | (88) ~ (sz10 = sz00) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (1602), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1361) xp = xn % 112.81/81.28 | % 112.81/81.28 | Equations (1361) can reduce 1593 to: % 112.81/81.28 | (174) $false % 112.81/81.28 | % 112.81/81.28 |-The branch is then unsatisfiable % 112.81/81.28 |-Branch two: % 112.81/81.28 | (1593) ~ (xp = xn) % 112.81/81.28 | (1620) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 112.81/81.28 | % 112.81/81.28 +-Applying beta-rule and splitting (474), into two cases. % 112.81/81.28 |-Branch one: % 112.81/81.28 | (1361) xp = xn % 112.81/81.28 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | (1624) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v1) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (141), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (208), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1336) xm = sz00 % 112.81/81.29 | % 112.81/81.29 | Combining equations (1336,1334) yields a new equation: % 112.81/81.29 | (1337) sz10 = sz00 % 112.81/81.29 | % 112.81/81.29 | Equations (1337) can reduce 88 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1339) ~ (xm = sz00) % 112.81/81.29 | (1633) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 112.81/81.29 | % 112.81/81.29 | Equations (1334) can reduce 1339 to: % 112.81/81.29 | (88) ~ (sz10 = sz00) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (525), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | (1638) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xp, sz10) = v1 & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (1633), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | (1642) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (221), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1360) xr = xp % 112.81/81.29 | % 112.81/81.29 | Combining equations (310,1360) yields a new equation: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1590) ~ (xr = xp) % 112.81/81.29 | (1647) ? [v0] : ? [v1] : ( ~ (v1 = all_17_0_11) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xr) = v0) % 112.81/81.29 | % 112.81/81.29 | Equations (310) can reduce 1590 to: % 112.81/81.29 | (1592) ~ (xp = xn) % 112.81/81.29 | % 112.81/81.29 | Simplifying 1592 yields: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (1352), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1593) ~ (xp = xn) % 112.81/81.29 | (1653) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (1300), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1336) xm = sz00 % 112.81/81.29 | % 112.81/81.29 | Combining equations (1336,1334) yields a new equation: % 112.81/81.29 | (1337) sz10 = sz00 % 112.81/81.29 | % 112.81/81.29 | Equations (1337) can reduce 88 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 112.81/81.29 | (1339) ~ (xm = sz00) % 112.81/81.29 | (1477) all_214_0_128 = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1334) can reduce 1339 to: % 112.81/81.29 | (88) ~ (sz10 = sz00) % 112.81/81.29 | % 112.81/81.29 +-Applying beta-rule and splitting (229), into two cases. % 112.81/81.29 |-Branch one: % 112.81/81.29 | (1361) xp = xn % 112.81/81.29 | % 112.81/81.29 | Equations (1361) can reduce 1593 to: % 112.81/81.29 | (174) $false % 112.81/81.29 | % 112.81/81.29 |-The branch is then unsatisfiable % 112.81/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1663) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v0 & sdtpldt0(xn, xm) = v1) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (220), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1667) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (207), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1336) xm = sz00 % 113.21/81.29 | % 113.21/81.29 | Combining equations (1336,1334) yields a new equation: % 113.21/81.29 | (1337) sz10 = sz00 % 113.21/81.29 | % 113.21/81.29 | Equations (1337) can reduce 88 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1339) ~ (xm = sz00) % 113.21/81.29 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 113.21/81.29 | % 113.21/81.29 | Equations (1334) can reduce 1339 to: % 113.21/81.29 | (88) ~ (sz10 = sz00) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (503), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1677) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(xp, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (222), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (1672), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1685) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (193), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1336) xm = sz00 % 113.21/81.29 | % 113.21/81.29 | Combining equations (1336,1334) yields a new equation: % 113.21/81.29 | (1337) sz10 = sz00 % 113.21/81.29 | % 113.21/81.29 | Equations (1337) can reduce 88 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1339) ~ (xm = sz00) % 113.21/81.29 | (1690) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v1 & sdtasdt0(xm, xp) = v0) % 113.21/81.29 | % 113.21/81.29 | Equations (1334) can reduce 1339 to: % 113.21/81.29 | (88) ~ (sz10 = sz00) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (1615), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1695) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (214), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.29 | (1699) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, xn) = v0 & sdtpldt0(xp, xr) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 113.21/81.29 | % 113.21/81.29 +-Applying beta-rule and splitting (248), into two cases. % 113.21/81.29 |-Branch one: % 113.21/81.29 | (1361) xp = xn % 113.21/81.29 | % 113.21/81.29 | Equations (1361) can reduce 1593 to: % 113.21/81.29 | (174) $false % 113.21/81.29 | % 113.21/81.29 |-The branch is then unsatisfiable % 113.21/81.29 |-Branch two: % 113.21/81.29 | (1593) ~ (xp = xn) % 113.21/81.30 | (1703) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xp, all_0_4_4) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_3_3, v0)) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (475), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1361) xp = xn % 113.21/81.30 | % 113.21/81.30 | Equations (1361) can reduce 1593 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1593) ~ (xp = xn) % 113.21/81.30 | (1707) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (1018), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | Combining equations (1336,1334) yields a new equation: % 113.21/81.30 | (1337) sz10 = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (1337) can reduce 88 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1339) ~ (xm = sz00) % 113.21/81.30 | (1712) all_212_0_127 = xn % 113.21/81.30 | % 113.21/81.30 | Combining equations (1712,1340) yields a new equation: % 113.21/81.30 | (1361) xp = xn % 113.21/81.30 | % 113.21/81.30 | Equations (1361) can reduce 1593 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1715) ~ sdtlseqdt0(sz10, all_0_0_0) % 113.21/81.30 | (1716) all_0_0_0 = sz10 | all_0_0_0 = sz00 % 113.21/81.30 | % 113.21/81.30 | From (1287) and (1715) follows: % 113.21/81.30 | (1717) ~ sdtlseqdt0(sz10, xm) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (136), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1333) sdtlseqdt0(sz10, xm) % 113.21/81.30 | % 113.21/81.30 | Using (1333) and (1717) yields: % 113.21/81.30 | (1719) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1717) ~ sdtlseqdt0(sz10, xm) % 113.21/81.30 | (1721) xm = sz10 | xm = sz00 % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (205), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | From (1336) and (1717) follows: % 113.21/81.30 | (1723) ~ sdtlseqdt0(sz10, sz00) % 113.21/81.30 | % 113.21/81.30 | Using (1327) and (1723) yields: % 113.21/81.30 | (1719) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1339) ~ (xm = sz00) % 113.21/81.30 | (1726) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v0 & sdtasdt0(xp, xm) = v1) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (207), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (1336) can reduce 1339 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1339) ~ (xm = sz00) % 113.21/81.30 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (201), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (1336) can reduce 1339 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1339) ~ (xm = sz00) % 113.21/81.30 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (209), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (1336) can reduce 1339 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1339) ~ (xm = sz00) % 113.21/81.30 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (1716), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1739) all_0_0_0 = sz00 % 113.21/81.30 | % 113.21/81.30 | Combining equations (1739,1287) yields a new equation: % 113.21/81.30 | (1336) xm = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (1336) can reduce 1339 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1742) ~ (all_0_0_0 = sz00) % 113.21/81.30 | (1743) all_0_0_0 = sz10 % 113.21/81.30 | % 113.21/81.30 | Combining equations (1743,1287) yields a new equation: % 113.21/81.30 | (1334) xm = sz10 % 113.21/81.30 | % 113.21/81.30 | From (1334) and (1331) follows: % 113.21/81.30 | (149) sdtlseqdt0(sz10, sz10) % 113.21/81.30 | % 113.21/81.30 | From (1334) and (1717) follows: % 113.21/81.30 | (1746) ~ sdtlseqdt0(sz10, sz10) % 113.21/81.30 | % 113.21/81.30 | Using (149) and (1746) yields: % 113.21/81.30 | (1719) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1748) ~ sdtlseqdt0(xm, sz10) % 113.21/81.30 | (1333) sdtlseqdt0(sz10, xm) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (125), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1750) sdtlseqdt0(all_0_0_0, xr) % 113.21/81.30 | % 113.21/81.30 | From (1287)(310) and (1750) follows: % 113.21/81.30 | (1751) sdtlseqdt0(xm, xn) % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (147), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1379) xn = sz00 % 113.21/81.30 | % 113.21/81.30 | Combining equations (1379,310) yields a new equation: % 113.21/81.30 | (1377) xr = sz00 % 113.21/81.30 | % 113.21/81.30 | From (1379) and (337) follows: % 113.21/81.30 | (1754) sdtpldt0(sz00, sz10) = all_83_2_40 % 113.21/81.30 | % 113.21/81.30 +-Applying beta-rule and splitting (142), into two cases. % 113.21/81.30 |-Branch one: % 113.21/81.30 | (1361) xp = xn % 113.21/81.30 | % 113.21/81.30 | Combining equations (1379,1361) yields a new equation: % 113.21/81.30 | (173) xp = sz00 % 113.21/81.30 | % 113.21/81.30 | Equations (173) can reduce 37 to: % 113.21/81.30 | (174) $false % 113.21/81.30 | % 113.21/81.30 |-The branch is then unsatisfiable % 113.21/81.30 |-Branch two: % 113.21/81.30 | (1593) ~ (xp = xn) % 113.21/81.30 | (1597) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 113.21/81.30 | % 113.21/81.31 | Equations (1379) can reduce 1593 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (191), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1336) xm = sz00 % 113.21/81.31 | % 113.21/81.31 | From (1336) and (1172) follows: % 113.21/81.31 | (1762) sdtpldt0(all_102_2_49, all_52_0_18) = sz00 % 113.21/81.31 | % 113.21/81.31 | From (1336) and (376) follows: % 113.21/81.31 | (1763) sdtpldt0(sz00, sz10) = all_102_2_49 % 113.21/81.31 | % 113.21/81.31 | From (1336) and (494) follows: % 113.21/81.31 | (1764) sdtpldt0(sz10, sz00) = all_102_2_49 % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (520), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1334) xm = sz10 % 113.21/81.31 | % 113.21/81.31 | Combining equations (1336,1334) yields a new equation: % 113.21/81.31 | (1337) sz10 = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (1337) can reduce 88 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1768) ~ (xm = sz10) % 113.21/81.31 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 113.21/81.31 | % 113.21/81.31 | Instantiating (1769) with all_464_0_575, all_464_1_576 yields: % 113.21/81.31 | (1770) ~ (all_464_0_575 = all_83_0_38) & ~ (all_464_1_576 = all_0_4_4) & sdtpldt0(xm, xn) = all_464_0_575 & sdtpldt0(xn, sz10) = all_464_1_576 % 113.21/81.31 | % 113.21/81.31 | Applying alpha-rule on (1770) yields: % 113.21/81.31 | (1771) ~ (all_464_0_575 = all_83_0_38) % 113.21/81.31 | (1772) ~ (all_464_1_576 = all_0_4_4) % 113.21/81.31 | (1773) sdtpldt0(xm, xn) = all_464_0_575 % 113.21/81.31 | (1774) sdtpldt0(xn, sz10) = all_464_1_576 % 113.21/81.31 | % 113.21/81.31 | Equations (1336) can reduce 1768 to: % 113.21/81.31 | (1775) ~ (sz10 = sz00) % 113.21/81.31 | % 113.21/81.31 | Simplifying 1775 yields: % 113.21/81.31 | (88) ~ (sz10 = sz00) % 113.21/81.31 | % 113.21/81.31 | From (1379) and (1774) follows: % 113.21/81.31 | (1777) sdtpldt0(sz00, sz10) = all_464_1_576 % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (558), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1363) all_54_0_19 = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1200,1363) yields a new equation: % 113.21/81.31 | (1605) xp = xn % 113.21/81.31 | % 113.21/81.31 | Simplifying 1605 yields: % 113.21/81.31 | (1361) xp = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1379,1361) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1608) ~ (all_54_0_19 = xn) % 113.21/81.31 | (1784) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 113.21/81.31 | % 113.21/81.31 | Instantiating (1784) with all_470_0_577, all_470_1_578 yields: % 113.21/81.31 | (1785) ~ (all_470_0_577 = all_83_2_40) & ~ (all_470_1_578 = sz10) & sdtpldt0(all_54_0_19, sz10) = all_470_0_577 & sdtpldt0(sz10, xn) = all_470_1_578 % 113.21/81.31 | % 113.21/81.31 | Applying alpha-rule on (1785) yields: % 113.21/81.31 | (1786) ~ (all_470_0_577 = all_83_2_40) % 113.21/81.31 | (1787) ~ (all_470_1_578 = sz10) % 113.21/81.31 | (1788) sdtpldt0(all_54_0_19, sz10) = all_470_0_577 % 113.21/81.31 | (1789) sdtpldt0(sz10, xn) = all_470_1_578 % 113.21/81.31 | % 113.21/81.31 | Equations (1200,1379) can reduce 1608 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 | From (1379) and (1789) follows: % 113.21/81.31 | (1791) sdtpldt0(sz10, sz00) = all_470_1_578 % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (544), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1372) xn = sz10 % 113.21/81.31 | % 113.21/81.31 | Combining equations (1372,1379) yields a new equation: % 113.21/81.31 | (1793) sz10 = sz00 % 113.21/81.31 | % 113.21/81.31 | Simplifying 1793 yields: % 113.21/81.31 | (1337) sz10 = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (1337) can reduce 88 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1364) ~ (xn = sz10) % 113.21/81.31 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 113.21/81.31 | % 113.21/81.31 | Equations (1379) can reduce 1364 to: % 113.21/81.31 | (1775) ~ (sz10 = sz00) % 113.21/81.31 | % 113.21/81.31 | Simplifying 1775 yields: % 113.21/81.31 | (88) ~ (sz10 = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (141), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1361) xp = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1379,1361) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1593) ~ (xp = xn) % 113.21/81.31 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 113.21/81.31 | % 113.21/81.31 | Equations (1379) can reduce 1593 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (248), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1361) xp = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1379,1361) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1593) ~ (xp = xn) % 113.21/81.31 | (1703) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xp, all_0_4_4) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_3_3, v0)) % 113.21/81.31 | % 113.21/81.31 | Equations (1379) can reduce 1593 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (571), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1363) all_54_0_19 = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1200,1363) yields a new equation: % 113.21/81.31 | (1605) xp = xn % 113.21/81.31 | % 113.21/81.31 | Simplifying 1605 yields: % 113.21/81.31 | (1361) xp = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1379,1361) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1608) ~ (all_54_0_19 = xn) % 113.21/81.31 | (1609) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 113.21/81.31 | % 113.21/81.31 | Instantiating (1609) with all_493_0_588, all_493_1_589 yields: % 113.21/81.31 | (1819) ~ (all_493_0_588 = all_493_1_589) & sdtpldt0(all_54_0_19, sz10) = all_493_1_589 & sdtpldt0(xn, sz10) = all_493_0_588 % 113.21/81.31 | % 113.21/81.31 | Applying alpha-rule on (1819) yields: % 113.21/81.31 | (1820) ~ (all_493_0_588 = all_493_1_589) % 113.21/81.31 | (1821) sdtpldt0(all_54_0_19, sz10) = all_493_1_589 % 113.21/81.31 | (1822) sdtpldt0(xn, sz10) = all_493_0_588 % 113.21/81.31 | % 113.21/81.31 | Equations (1200,1379) can reduce 1608 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 | From (1379) and (1822) follows: % 113.21/81.31 | (1824) sdtpldt0(sz00, sz10) = all_493_0_588 % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (216), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1368) xp = xm % 113.21/81.31 | % 113.21/81.31 | Combining equations (1336,1368) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1374) ~ (xp = xm) % 113.21/81.31 | (1375) ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_17_0_11) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xm, xr) = v1) % 113.21/81.31 | % 113.21/81.31 | Equations (1336) can reduce 1374 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (229), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1361) xp = xn % 113.21/81.31 | % 113.21/81.31 | Combining equations (1379,1361) yields a new equation: % 113.21/81.31 | (173) xp = sz00 % 113.21/81.31 | % 113.21/81.31 | Equations (173) can reduce 37 to: % 113.21/81.31 | (174) $false % 113.21/81.31 | % 113.21/81.31 |-The branch is then unsatisfiable % 113.21/81.31 |-Branch two: % 113.21/81.31 | (1593) ~ (xp = xn) % 113.21/81.31 | (1663) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v0 & sdtpldt0(xn, xm) = v1) % 113.21/81.31 | % 113.21/81.31 | Equations (1379) can reduce 1593 to: % 113.21/81.31 | (37) ~ (xp = sz00) % 113.21/81.31 | % 113.21/81.31 +-Applying beta-rule and splitting (557), into two cases. % 113.21/81.31 |-Branch one: % 113.21/81.31 | (1434) all_54_0_19 = xm % 113.21/81.31 | % 113.21/81.31 | Combining equations (1200,1434) yields a new equation: % 113.21/81.31 | (1838) xp = xm % 113.21/81.31 | % 113.21/81.31 | Simplifying 1838 yields: % 113.21/81.31 | (1368) xp = xm % 113.21/81.31 | % 113.21/81.32 | Combining equations (1336,1368) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1438) ~ (all_54_0_19 = xm) % 113.21/81.32 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.21/81.32 | % 113.21/81.32 | Instantiating (1485) with all_511_0_594, all_511_1_595 yields: % 113.21/81.32 | (1844) ~ (all_511_0_594 = all_102_2_49) & ~ (all_511_1_595 = sz10) & sdtpldt0(all_54_0_19, sz10) = all_511_0_594 & sdtpldt0(sz10, xm) = all_511_1_595 % 113.21/81.32 | % 113.21/81.32 | Applying alpha-rule on (1844) yields: % 113.21/81.32 | (1845) ~ (all_511_0_594 = all_102_2_49) % 113.21/81.32 | (1846) ~ (all_511_1_595 = sz10) % 113.21/81.32 | (1847) sdtpldt0(all_54_0_19, sz10) = all_511_0_594 % 113.21/81.32 | (1848) sdtpldt0(sz10, xm) = all_511_1_595 % 113.21/81.32 | % 113.21/81.32 | Equations (1200,1336) can reduce 1438 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 | From (1336) and (1848) follows: % 113.21/81.32 | (1850) sdtpldt0(sz10, sz00) = all_511_1_595 % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (214), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1361) xp = xn % 113.21/81.32 | % 113.21/81.32 | Combining equations (1379,1361) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1593) ~ (xp = xn) % 113.21/81.32 | (1699) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, xn) = v0 & sdtpldt0(xp, xr) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 113.21/81.32 | % 113.21/81.32 | Equations (1379) can reduce 1593 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (478), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1361) xp = xn % 113.21/81.32 | % 113.21/81.32 | Combining equations (1379,1361) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1593) ~ (xp = xn) % 113.21/81.32 | (1861) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xm) & ~ (v1 = v0) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xm, v2)) % 113.21/81.32 | % 113.21/81.32 | Equations (1379) can reduce 1593 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (481), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1368) xp = xm % 113.21/81.32 | % 113.21/81.32 | Combining equations (1336,1368) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1374) ~ (xp = xm) % 113.21/81.32 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 113.21/81.32 | % 113.21/81.32 | Equations (1336) can reduce 1374 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (222), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1361) xp = xn % 113.21/81.32 | % 113.21/81.32 | Combining equations (1379,1361) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1593) ~ (xp = xn) % 113.21/81.32 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 113.21/81.32 | % 113.21/81.32 | Equations (1379) can reduce 1593 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (230), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1361) xp = xn % 113.21/81.32 | % 113.21/81.32 | Combining equations (1379,1361) yields a new equation: % 113.21/81.32 | (173) xp = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (173) can reduce 37 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1593) ~ (xp = xn) % 113.21/81.32 | (1879) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 113.21/81.32 | % 113.21/81.32 | Equations (1379) can reduce 1593 to: % 113.21/81.32 | (37) ~ (xp = sz00) % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (497), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1334) xm = sz10 % 113.21/81.32 | % 113.21/81.32 | Combining equations (1336,1334) yields a new equation: % 113.21/81.32 | (1337) sz10 = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (1337) can reduce 88 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1768) ~ (xm = sz10) % 113.21/81.32 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 113.21/81.32 | % 113.21/81.32 | Instantiating (1885) with all_551_0_610, all_551_1_611 yields: % 113.21/81.32 | (1886) ~ (all_551_0_610 = all_0_4_4) & ~ (all_551_1_611 = all_83_2_40) & sdtpldt0(xn, xm) = all_551_1_611 & sdtpldt0(sz10, xn) = all_551_0_610 % 113.21/81.32 | % 113.21/81.32 | Applying alpha-rule on (1886) yields: % 113.21/81.32 | (1887) ~ (all_551_0_610 = all_0_4_4) % 113.21/81.32 | (1888) ~ (all_551_1_611 = all_83_2_40) % 113.21/81.32 | (1889) sdtpldt0(xn, xm) = all_551_1_611 % 113.21/81.32 | (1890) sdtpldt0(sz10, xn) = all_551_0_610 % 113.21/81.32 | % 113.21/81.32 | Equations (1336) can reduce 1768 to: % 113.21/81.32 | (1775) ~ (sz10 = sz00) % 113.21/81.32 | % 113.21/81.32 | Simplifying 1775 yields: % 113.21/81.32 | (88) ~ (sz10 = sz00) % 113.21/81.32 | % 113.21/81.32 | From (1379) and (1890) follows: % 113.21/81.32 | (1893) sdtpldt0(sz10, sz00) = all_551_0_610 % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (545), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1372) xn = sz10 % 113.21/81.32 | % 113.21/81.32 | Combining equations (1372,1379) yields a new equation: % 113.21/81.32 | (1793) sz10 = sz00 % 113.21/81.32 | % 113.21/81.32 | Simplifying 1793 yields: % 113.21/81.32 | (1337) sz10 = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (1337) can reduce 88 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1364) ~ (xn = sz10) % 113.21/81.32 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 113.21/81.32 | % 113.21/81.32 | Instantiating (1587) with all_557_0_612, all_557_1_613, all_557_2_614 yields: % 113.21/81.32 | (1900) ~ (all_557_0_612 = all_557_1_613) & ~ (all_557_2_614 = all_102_2_49) & sdtpldt0(xm, xn) = all_557_2_614 & sdtpldt0(xn, xm) = all_557_0_612 & sdtpldt0(sz10, xm) = all_557_1_613 & sdtlseqdt0(all_557_1_613, all_557_0_612) & sdtlseqdt0(all_102_2_49, all_557_2_614) % 113.21/81.32 | % 113.21/81.32 | Applying alpha-rule on (1900) yields: % 113.21/81.32 | (1901) ~ (all_557_2_614 = all_102_2_49) % 113.21/81.32 | (1902) ~ (all_557_0_612 = all_557_1_613) % 113.21/81.32 | (1903) sdtpldt0(xm, xn) = all_557_2_614 % 113.21/81.32 | (1904) sdtpldt0(xn, xm) = all_557_0_612 % 113.21/81.32 | (1905) sdtpldt0(sz10, xm) = all_557_1_613 % 113.21/81.32 | (1906) sdtlseqdt0(all_557_1_613, all_557_0_612) % 113.21/81.32 | (1907) sdtlseqdt0(all_102_2_49, all_557_2_614) % 113.21/81.32 | % 113.21/81.32 | Equations (1379) can reduce 1364 to: % 113.21/81.32 | (1775) ~ (sz10 = sz00) % 113.21/81.32 | % 113.21/81.32 | Simplifying 1775 yields: % 113.21/81.32 | (88) ~ (sz10 = sz00) % 113.21/81.32 | % 113.21/81.32 | From (1336) and (1905) follows: % 113.21/81.32 | (1910) sdtpldt0(sz10, sz00) = all_557_1_613 % 113.21/81.32 | % 113.21/81.32 +-Applying beta-rule and splitting (509), into two cases. % 113.21/81.32 |-Branch one: % 113.21/81.32 | (1372) xn = sz10 % 113.21/81.32 | % 113.21/81.32 | Combining equations (1372,1379) yields a new equation: % 113.21/81.32 | (1793) sz10 = sz00 % 113.21/81.32 | % 113.21/81.32 | Simplifying 1793 yields: % 113.21/81.32 | (1337) sz10 = sz00 % 113.21/81.32 | % 113.21/81.32 | Equations (1337) can reduce 88 to: % 113.21/81.32 | (174) $false % 113.21/81.32 | % 113.21/81.32 |-The branch is then unsatisfiable % 113.21/81.32 |-Branch two: % 113.21/81.32 | (1364) ~ (xn = sz10) % 113.21/81.32 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 113.21/81.32 | % 113.21/81.33 | Instantiating (1387) with all_563_0_615, all_563_1_616 yields: % 113.21/81.33 | (1917) ~ (all_563_0_615 = all_102_1_48) & ~ (all_563_1_616 = all_0_4_4) & sdtpldt0(xm, sz10) = all_563_1_616 & sdtpldt0(xn, xm) = all_563_0_615 % 113.21/81.33 | % 113.21/81.33 | Applying alpha-rule on (1917) yields: % 113.21/81.33 | (1918) ~ (all_563_0_615 = all_102_1_48) % 113.21/81.33 | (1919) ~ (all_563_1_616 = all_0_4_4) % 113.21/81.33 | (1920) sdtpldt0(xm, sz10) = all_563_1_616 % 113.21/81.33 | (1921) sdtpldt0(xn, xm) = all_563_0_615 % 113.21/81.33 | % 113.21/81.33 | Equations (1379) can reduce 1364 to: % 113.21/81.33 | (1775) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | Simplifying 1775 yields: % 113.21/81.33 | (88) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | From (1336) and (1920) follows: % 113.21/81.33 | (1924) sdtpldt0(sz00, sz10) = all_563_1_616 % 113.21/81.33 | % 113.21/81.33 +-Applying beta-rule and splitting (542), into two cases. % 113.21/81.33 |-Branch one: % 113.21/81.33 | (1372) xn = sz10 % 113.21/81.33 | % 113.21/81.33 | Combining equations (1372,1379) yields a new equation: % 113.21/81.33 | (1793) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Simplifying 1793 yields: % 113.21/81.33 | (1337) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Equations (1337) can reduce 88 to: % 113.21/81.33 | (174) $false % 113.21/81.33 | % 113.21/81.33 |-The branch is then unsatisfiable % 113.21/81.33 |-Branch two: % 113.21/81.33 | (1364) ~ (xn = sz10) % 113.21/81.33 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 113.21/81.33 | % 113.21/81.33 | Instantiating (1452) with all_569_0_617, all_569_1_618, all_569_2_619 yields: % 113.21/81.33 | (1931) ~ (all_569_0_617 = all_569_1_618) & ~ (all_569_2_619 = all_0_4_4) & sdtpldt0(xm, sz10) = all_569_2_619 & sdtpldt0(xn, xm) = all_569_0_617 & sdtpldt0(sz10, xm) = all_569_1_618 & sdtlseqdt0(all_569_1_618, all_569_0_617) & sdtlseqdt0(all_569_2_619, all_0_4_4) % 113.21/81.33 | % 113.21/81.33 | Applying alpha-rule on (1931) yields: % 113.21/81.33 | (1932) sdtpldt0(sz10, xm) = all_569_1_618 % 113.21/81.33 | (1933) sdtlseqdt0(all_569_1_618, all_569_0_617) % 113.21/81.33 | (1934) ~ (all_569_2_619 = all_0_4_4) % 113.21/81.33 | (1935) sdtpldt0(xm, sz10) = all_569_2_619 % 113.21/81.33 | (1936) sdtlseqdt0(all_569_2_619, all_0_4_4) % 113.21/81.33 | (1937) sdtpldt0(xn, xm) = all_569_0_617 % 113.21/81.33 | (1938) ~ (all_569_0_617 = all_569_1_618) % 113.21/81.33 | % 113.21/81.33 | Equations (1379) can reduce 1364 to: % 113.21/81.33 | (1775) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | Simplifying 1775 yields: % 113.21/81.33 | (88) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | From (1336) and (1935) follows: % 113.21/81.33 | (1941) sdtpldt0(sz00, sz10) = all_569_2_619 % 113.21/81.33 | % 113.21/81.33 | From (1336) and (1932) follows: % 113.21/81.33 | (1942) sdtpldt0(sz10, sz00) = all_569_1_618 % 113.21/81.33 | % 113.21/81.33 +-Applying beta-rule and splitting (543), into two cases. % 113.21/81.33 |-Branch one: % 113.21/81.33 | (1372) xn = sz10 % 113.21/81.33 | % 113.21/81.33 | Combining equations (1372,1379) yields a new equation: % 113.21/81.33 | (1793) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Simplifying 1793 yields: % 113.21/81.33 | (1337) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Equations (1337) can reduce 88 to: % 113.21/81.33 | (174) $false % 113.21/81.33 | % 113.21/81.33 |-The branch is then unsatisfiable % 113.21/81.33 |-Branch two: % 113.21/81.33 | (1364) ~ (xn = sz10) % 113.21/81.33 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 113.21/81.33 | % 113.21/81.33 | Instantiating (1421) with all_575_0_620, all_575_1_621, all_575_2_622 yields: % 113.21/81.33 | (1949) ~ (all_575_0_620 = all_0_4_4) & ~ (all_575_1_621 = all_575_2_622) & sdtpldt0(xm, xn) = all_575_1_621 & sdtpldt0(xm, sz10) = all_575_2_622 & sdtpldt0(sz10, xm) = all_575_0_620 & sdtlseqdt0(all_575_0_620, all_0_4_4) & sdtlseqdt0(all_575_2_622, all_575_1_621) % 113.21/81.33 | % 113.21/81.33 | Applying alpha-rule on (1949) yields: % 113.21/81.33 | (1950) sdtpldt0(sz10, xm) = all_575_0_620 % 113.21/81.33 | (1951) ~ (all_575_1_621 = all_575_2_622) % 113.21/81.33 | (1952) sdtpldt0(xm, xn) = all_575_1_621 % 113.21/81.33 | (1953) sdtlseqdt0(all_575_2_622, all_575_1_621) % 113.21/81.33 | (1954) ~ (all_575_0_620 = all_0_4_4) % 113.21/81.33 | (1955) sdtlseqdt0(all_575_0_620, all_0_4_4) % 113.21/81.33 | (1956) sdtpldt0(xm, sz10) = all_575_2_622 % 113.21/81.33 | % 113.21/81.33 | Equations (1379) can reduce 1364 to: % 113.21/81.33 | (1775) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | Simplifying 1775 yields: % 113.21/81.33 | (88) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | From (1336) and (1956) follows: % 113.21/81.33 | (1959) sdtpldt0(sz00, sz10) = all_575_2_622 % 113.21/81.33 | % 113.21/81.33 | From (1336) and (1950) follows: % 113.21/81.33 | (1960) sdtpldt0(sz10, sz00) = all_575_0_620 % 113.21/81.33 | % 113.21/81.33 +-Applying beta-rule and splitting (550), into two cases. % 113.21/81.33 |-Branch one: % 113.21/81.33 | (1372) xn = sz10 % 113.21/81.33 | % 113.21/81.33 | Combining equations (1372,1379) yields a new equation: % 113.21/81.33 | (1793) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Simplifying 1793 yields: % 113.21/81.33 | (1337) sz10 = sz00 % 113.21/81.33 | % 113.21/81.33 | Equations (1337) can reduce 88 to: % 113.21/81.33 | (174) $false % 113.21/81.33 | % 113.21/81.33 |-The branch is then unsatisfiable % 113.21/81.33 |-Branch two: % 113.21/81.33 | (1364) ~ (xn = sz10) % 113.21/81.33 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 113.21/81.33 | % 113.21/81.33 | Instantiating (1537) with all_580_0_623, all_580_1_624, all_580_2_625 yields: % 113.21/81.33 | (1967) ~ (all_580_0_623 = all_580_1_624) & ~ (all_580_2_625 = all_83_0_38) & sdtpldt0(xn, sz10) = all_580_0_623 & sdtpldt0(sz10, sz10) = all_580_1_624 & sdtpldt0(sz10, sz10) = all_580_2_625 & sdtlseqdt0(all_580_1_624, all_580_0_623) & sdtlseqdt0(all_580_2_625, all_83_0_38) % 113.21/81.33 | % 113.21/81.33 | Applying alpha-rule on (1967) yields: % 113.21/81.33 | (1968) sdtpldt0(xn, sz10) = all_580_0_623 % 113.21/81.33 | (1969) ~ (all_580_2_625 = all_83_0_38) % 113.21/81.33 | (1970) sdtpldt0(sz10, sz10) = all_580_2_625 % 113.21/81.33 | (1971) sdtlseqdt0(all_580_1_624, all_580_0_623) % 113.21/81.33 | (1972) sdtpldt0(sz10, sz10) = all_580_1_624 % 113.21/81.33 | (1973) ~ (all_580_0_623 = all_580_1_624) % 113.21/81.33 | (1974) sdtlseqdt0(all_580_2_625, all_83_0_38) % 113.21/81.33 | % 113.21/81.33 | Equations (1379) can reduce 1364 to: % 113.21/81.33 | (1775) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | Simplifying 1775 yields: % 113.21/81.33 | (88) ~ (sz10 = sz00) % 113.21/81.33 | % 113.21/81.33 | From (1379) and (1968) follows: % 113.21/81.33 | (1977) sdtpldt0(sz00, sz10) = all_580_0_623 % 113.21/81.33 | % 113.21/81.33 +-Applying beta-rule and splitting (217), into two cases. % 113.21/81.33 |-Branch one: % 113.21/81.33 | (1368) xp = xm % 113.21/81.33 | % 113.21/81.33 | Combining equations (1336,1368) yields a new equation: % 113.21/81.33 | (173) xp = sz00 % 113.21/81.33 | % 113.21/81.33 | Equations (173) can reduce 37 to: % 113.21/81.33 | (174) $false % 113.21/81.33 | % 113.21/81.33 |-The branch is then unsatisfiable % 113.21/81.33 |-Branch two: % 113.21/81.33 | (1374) ~ (xp = xm) % 113.21/81.33 | (1406) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v1 & sdtpldt0(xm, xr) = v0) % 113.21/81.33 | % 113.21/81.33 | Equations (1336) can reduce 1374 to: % 113.21/81.33 | (37) ~ (xp = sz00) % 113.21/81.33 | % 113.21/81.34 +-Applying beta-rule and splitting (547), into two cases. % 113.21/81.34 |-Branch one: % 113.21/81.34 | (1372) xn = sz10 % 113.21/81.34 | % 113.21/81.34 | Combining equations (1372,1379) yields a new equation: % 113.21/81.34 | (1793) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Simplifying 1793 yields: % 113.21/81.34 | (1337) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Equations (1337) can reduce 88 to: % 113.21/81.34 | (174) $false % 113.21/81.34 | % 113.21/81.34 |-The branch is then unsatisfiable % 113.21/81.34 |-Branch two: % 113.21/81.34 | (1364) ~ (xn = sz10) % 113.21/81.34 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 113.21/81.34 | % 113.21/81.34 | Instantiating (1433) with all_592_0_628, all_592_1_629, all_592_2_630 yields: % 113.21/81.34 | (1990) ~ (all_592_0_628 = all_83_2_40) & ~ (all_592_1_629 = all_592_2_630) & sdtpldt0(sz10, xn) = all_592_1_629 & sdtpldt0(sz10, sz10) = all_592_0_628 & sdtpldt0(sz10, sz10) = all_592_2_630 & sdtlseqdt0(all_592_0_628, all_83_2_40) & sdtlseqdt0(all_592_2_630, all_592_1_629) % 113.21/81.34 | % 113.21/81.34 | Applying alpha-rule on (1990) yields: % 113.21/81.34 | (1991) ~ (all_592_1_629 = all_592_2_630) % 113.21/81.34 | (1992) sdtpldt0(sz10, sz10) = all_592_0_628 % 113.21/81.34 | (1993) sdtpldt0(sz10, xn) = all_592_1_629 % 113.21/81.34 | (1994) ~ (all_592_0_628 = all_83_2_40) % 113.21/81.34 | (1995) sdtlseqdt0(all_592_0_628, all_83_2_40) % 113.21/81.34 | (1996) sdtpldt0(sz10, sz10) = all_592_2_630 % 113.21/81.34 | (1997) sdtlseqdt0(all_592_2_630, all_592_1_629) % 113.21/81.34 | % 113.21/81.34 | Equations (1379) can reduce 1364 to: % 113.21/81.34 | (1775) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | Simplifying 1775 yields: % 113.21/81.34 | (88) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | From (1379) and (1993) follows: % 113.21/81.34 | (2000) sdtpldt0(sz10, sz00) = all_592_1_629 % 113.21/81.34 | % 113.21/81.34 +-Applying beta-rule and splitting (551), into two cases. % 113.21/81.34 |-Branch one: % 113.21/81.34 | (1372) xn = sz10 % 113.21/81.34 | % 113.21/81.34 | Combining equations (1372,1379) yields a new equation: % 113.21/81.34 | (1793) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Simplifying 1793 yields: % 113.21/81.34 | (1337) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Equations (1337) can reduce 88 to: % 113.21/81.34 | (174) $false % 113.21/81.34 | % 113.21/81.34 |-The branch is then unsatisfiable % 113.21/81.34 |-Branch two: % 113.21/81.34 | (1364) ~ (xn = sz10) % 113.21/81.34 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 113.21/81.34 | % 113.21/81.34 | Instantiating (1502) with all_598_0_631, all_598_1_632, all_598_2_633 yields: % 113.21/81.34 | (2007) ~ (all_598_0_631 = all_83_0_38) & ~ (all_598_1_632 = all_598_2_633) & sdtpldt0(xn, xn) = all_598_0_631 & sdtpldt0(xn, xn) = all_598_1_632 & sdtpldt0(xn, sz10) = all_598_2_633 & sdtlseqdt0(all_598_2_633, all_598_1_632) & sdtlseqdt0(all_83_0_38, all_598_0_631) % 113.21/81.34 | % 113.21/81.34 | Applying alpha-rule on (2007) yields: % 113.21/81.34 | (2008) ~ (all_598_1_632 = all_598_2_633) % 113.21/81.34 | (2009) sdtpldt0(xn, xn) = all_598_1_632 % 113.21/81.34 | (2010) sdtlseqdt0(all_598_2_633, all_598_1_632) % 113.21/81.34 | (2011) sdtpldt0(xn, xn) = all_598_0_631 % 113.21/81.34 | (2012) sdtlseqdt0(all_83_0_38, all_598_0_631) % 113.21/81.34 | (2013) ~ (all_598_0_631 = all_83_0_38) % 113.21/81.34 | (2014) sdtpldt0(xn, sz10) = all_598_2_633 % 113.21/81.34 | % 113.21/81.34 | Equations (1379) can reduce 1364 to: % 113.21/81.34 | (1775) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | Simplifying 1775 yields: % 113.21/81.34 | (88) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | From (1379) and (2014) follows: % 113.21/81.34 | (2017) sdtpldt0(sz00, sz10) = all_598_2_633 % 113.21/81.34 | % 113.21/81.34 +-Applying beta-rule and splitting (519), into two cases. % 113.21/81.34 |-Branch one: % 113.21/81.34 | (1334) xm = sz10 % 113.21/81.34 | % 113.21/81.34 | Combining equations (1336,1334) yields a new equation: % 113.21/81.34 | (1337) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Equations (1337) can reduce 88 to: % 113.21/81.34 | (174) $false % 113.21/81.34 | % 113.21/81.34 |-The branch is then unsatisfiable % 113.21/81.34 |-Branch two: % 113.21/81.34 | (1768) ~ (xm = sz10) % 113.21/81.34 | (2022) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(xn, sz10) = v1) % 113.21/81.34 | % 113.21/81.34 | Instantiating (2022) with all_604_0_634, all_604_1_635 yields: % 113.21/81.34 | (2023) ~ (all_604_0_634 = all_604_1_635) & sdtpldt0(xn, xm) = all_604_1_635 & sdtpldt0(xn, sz10) = all_604_0_634 % 113.21/81.34 | % 113.21/81.34 | Applying alpha-rule on (2023) yields: % 113.21/81.34 | (2024) ~ (all_604_0_634 = all_604_1_635) % 113.21/81.34 | (2025) sdtpldt0(xn, xm) = all_604_1_635 % 113.21/81.34 | (2026) sdtpldt0(xn, sz10) = all_604_0_634 % 113.21/81.34 | % 113.21/81.34 | Equations (1336) can reduce 1768 to: % 113.21/81.34 | (1775) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | Simplifying 1775 yields: % 113.21/81.34 | (88) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | From (1379) and (2026) follows: % 113.21/81.34 | (2029) sdtpldt0(sz00, sz10) = all_604_0_634 % 113.21/81.34 | % 113.21/81.34 +-Applying beta-rule and splitting (583), into two cases. % 113.21/81.34 |-Branch one: % 113.21/81.34 | (1372) xn = sz10 % 113.21/81.34 | % 113.21/81.34 | Combining equations (1372,1379) yields a new equation: % 113.21/81.34 | (1793) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Simplifying 1793 yields: % 113.21/81.34 | (1337) sz10 = sz00 % 113.21/81.34 | % 113.21/81.34 | Equations (1337) can reduce 88 to: % 113.21/81.34 | (174) $false % 113.21/81.34 | % 113.21/81.34 |-The branch is then unsatisfiable % 113.21/81.34 |-Branch two: % 113.21/81.34 | (1364) ~ (xn = sz10) % 113.21/81.34 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 113.21/81.34 | % 113.21/81.34 | Equations (1379) can reduce 1364 to: % 113.21/81.34 | (1775) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 | Simplifying 1775 yields: % 113.21/81.34 | (88) ~ (sz10 = sz00) % 113.21/81.34 | % 113.21/81.34 +-Applying beta-rule and splitting (569), into two cases. % 113.21/81.34 |-Branch one: % 113.21/81.34 | (1434) all_54_0_19 = xm % 113.21/81.34 | % 113.21/81.34 | Combining equations (1200,1434) yields a new equation: % 113.21/81.34 | (1838) xp = xm % 113.21/81.34 | % 113.21/81.34 | Simplifying 1838 yields: % 113.21/81.34 | (1368) xp = xm % 113.21/81.34 | % 113.21/81.34 | Combining equations (1336,1368) yields a new equation: % 113.21/81.34 | (173) xp = sz00 % 113.21/81.34 | % 113.21/81.34 | Equations (173) can reduce 37 to: % 113.21/81.34 | (174) $false % 113.21/81.34 | % 113.21/81.34 |-The branch is then unsatisfiable % 113.21/81.34 |-Branch two: % 113.21/81.34 | (1438) ~ (all_54_0_19 = xm) % 113.21/81.34 | (1516) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 113.21/81.34 | % 113.21/81.34 | Instantiating (1516) with all_615_0_639, all_615_1_640 yields: % 113.21/81.34 | (2045) ~ (all_615_0_639 = all_615_1_640) & sdtpldt0(all_54_0_19, sz10) = all_615_1_640 & sdtpldt0(xm, sz10) = all_615_0_639 % 113.21/81.34 | % 113.21/81.34 | Applying alpha-rule on (2045) yields: % 113.21/81.34 | (2046) ~ (all_615_0_639 = all_615_1_640) % 113.21/81.34 | (2047) sdtpldt0(all_54_0_19, sz10) = all_615_1_640 % 113.21/81.34 | (2048) sdtpldt0(xm, sz10) = all_615_0_639 % 113.21/81.34 | % 113.21/81.34 | Equations (1200,1336) can reduce 1438 to: % 113.21/81.34 | (37) ~ (xp = sz00) % 113.21/81.34 | % 113.21/81.34 | From (1336) and (2048) follows: % 113.21/81.35 | (2050) sdtpldt0(sz00, sz10) = all_615_0_639 % 113.21/81.35 | % 113.21/81.35 +-Applying beta-rule and splitting (489), into two cases. % 113.21/81.35 |-Branch one: % 113.21/81.35 | (1372) xn = sz10 % 113.21/81.35 | % 113.21/81.35 | Combining equations (1372,1379) yields a new equation: % 113.21/81.35 | (1793) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Simplifying 1793 yields: % 113.21/81.35 | (1337) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Equations (1337) can reduce 88 to: % 113.21/81.35 | (174) $false % 113.21/81.35 | % 113.21/81.35 |-The branch is then unsatisfiable % 113.21/81.35 |-Branch two: % 113.21/81.35 | (1364) ~ (xn = sz10) % 113.21/81.35 | (1472) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xm) = v1) % 113.21/81.35 | % 113.21/81.35 | Instantiating (1472) with all_621_0_641, all_621_1_642 yields: % 113.21/81.35 | (2057) ~ (all_621_0_641 = all_621_1_642) & sdtpldt0(xn, xm) = all_621_1_642 & sdtpldt0(sz10, xm) = all_621_0_641 % 113.21/81.35 | % 113.21/81.35 | Applying alpha-rule on (2057) yields: % 113.21/81.35 | (2058) ~ (all_621_0_641 = all_621_1_642) % 113.21/81.35 | (2059) sdtpldt0(xn, xm) = all_621_1_642 % 113.21/81.35 | (2060) sdtpldt0(sz10, xm) = all_621_0_641 % 113.21/81.35 | % 113.21/81.35 | Equations (1379) can reduce 1364 to: % 113.21/81.35 | (1775) ~ (sz10 = sz00) % 113.21/81.35 | % 113.21/81.35 | Simplifying 1775 yields: % 113.21/81.35 | (88) ~ (sz10 = sz00) % 113.21/81.35 | % 113.21/81.35 | From (1336) and (2060) follows: % 113.21/81.35 | (2063) sdtpldt0(sz10, sz00) = all_621_0_641 % 113.21/81.35 | % 113.21/81.35 +-Applying beta-rule and splitting (511), into two cases. % 113.21/81.35 |-Branch one: % 113.21/81.35 | (1372) xn = sz10 % 113.21/81.35 | % 113.21/81.35 | Combining equations (1372,1379) yields a new equation: % 113.21/81.35 | (1793) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Simplifying 1793 yields: % 113.21/81.35 | (1337) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Equations (1337) can reduce 88 to: % 113.21/81.35 | (174) $false % 113.21/81.35 | % 113.21/81.35 |-The branch is then unsatisfiable % 113.21/81.35 |-Branch two: % 113.21/81.35 | (1364) ~ (xn = sz10) % 113.21/81.35 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 113.21/81.35 | % 113.21/81.35 | Instantiating (1576) with all_627_0_643, all_627_1_644 yields: % 113.21/81.35 | (2070) ~ (all_627_0_643 = all_627_1_644) & sdtpldt0(xm, xn) = all_627_1_644 & sdtpldt0(xm, sz10) = all_627_0_643 % 113.21/81.35 | % 113.21/81.35 | Applying alpha-rule on (2070) yields: % 113.21/81.35 | (2071) ~ (all_627_0_643 = all_627_1_644) % 113.21/81.35 | (2072) sdtpldt0(xm, xn) = all_627_1_644 % 113.21/81.35 | (2073) sdtpldt0(xm, sz10) = all_627_0_643 % 113.21/81.35 | % 113.21/81.35 | Equations (1379) can reduce 1364 to: % 113.21/81.35 | (1775) ~ (sz10 = sz00) % 113.21/81.35 | % 113.21/81.35 | Simplifying 1775 yields: % 113.21/81.35 | (88) ~ (sz10 = sz00) % 113.21/81.35 | % 113.21/81.35 | From (1336) and (2073) follows: % 113.21/81.35 | (2076) sdtpldt0(sz00, sz10) = all_627_0_643 % 113.21/81.35 | % 113.21/81.35 +-Applying beta-rule and splitting (503), into two cases. % 113.21/81.35 |-Branch one: % 113.21/81.35 | (1361) xp = xn % 113.21/81.35 | % 113.21/81.35 | Combining equations (1379,1361) yields a new equation: % 113.21/81.35 | (173) xp = sz00 % 113.21/81.35 | % 113.21/81.35 | Equations (173) can reduce 37 to: % 113.21/81.35 | (174) $false % 113.21/81.35 | % 113.21/81.35 |-The branch is then unsatisfiable % 113.21/81.35 |-Branch two: % 113.21/81.35 | (1593) ~ (xp = xn) % 113.21/81.35 | (1677) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(xp, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 113.21/81.35 | % 113.21/81.35 | Instantiating (1677) with all_633_0_645, all_633_1_646, all_633_2_647 yields: % 113.21/81.35 | (2082) ~ (all_633_0_645 = all_83_2_40) & ~ (all_633_1_646 = all_633_2_647) & sdtpldt0(xp, sz10) = all_633_0_645 & sdtpldt0(sz10, xp) = all_633_2_647 & sdtpldt0(sz10, xn) = all_633_1_646 & sdtlseqdt0(all_633_0_645, all_83_2_40) & sdtlseqdt0(all_633_2_647, all_633_1_646) % 113.21/81.35 | % 113.21/81.35 | Applying alpha-rule on (2082) yields: % 113.21/81.35 | (2083) sdtpldt0(sz10, xn) = all_633_1_646 % 113.21/81.35 | (2084) sdtlseqdt0(all_633_0_645, all_83_2_40) % 113.21/81.35 | (2085) sdtlseqdt0(all_633_2_647, all_633_1_646) % 113.21/81.35 | (2086) ~ (all_633_1_646 = all_633_2_647) % 113.21/81.35 | (2087) sdtpldt0(xp, sz10) = all_633_0_645 % 113.21/81.35 | (2088) sdtpldt0(sz10, xp) = all_633_2_647 % 113.21/81.35 | (2089) ~ (all_633_0_645 = all_83_2_40) % 113.21/81.35 | % 113.21/81.35 | Equations (1379) can reduce 1593 to: % 113.21/81.35 | (37) ~ (xp = sz00) % 113.21/81.35 | % 113.21/81.35 | From (1379) and (2083) follows: % 113.21/81.35 | (2091) sdtpldt0(sz10, sz00) = all_633_1_646 % 113.21/81.35 | % 113.21/81.35 +-Applying beta-rule and splitting (221), into two cases. % 113.21/81.35 |-Branch one: % 113.21/81.35 | (1360) xr = xp % 113.21/81.35 | % 113.21/81.35 | Combining equations (1360,1377) yields a new equation: % 113.21/81.35 | (1222) xp = sz00 % 113.21/81.35 | % 113.21/81.35 | Simplifying 1222 yields: % 113.21/81.35 | (173) xp = sz00 % 113.21/81.35 | % 113.21/81.35 | Equations (173) can reduce 37 to: % 113.21/81.35 | (174) $false % 113.21/81.35 | % 113.21/81.35 |-The branch is then unsatisfiable % 113.21/81.35 |-Branch two: % 113.21/81.35 | (1590) ~ (xr = xp) % 113.21/81.35 | (1647) ? [v0] : ? [v1] : ( ~ (v1 = all_17_0_11) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xr) = v0) % 113.21/81.35 | % 113.21/81.35 | Equations (1377) can reduce 1590 to: % 113.21/81.35 | (2098) ~ (xp = sz00) % 113.21/81.35 | % 113.21/81.35 | Simplifying 2098 yields: % 113.21/81.35 | (37) ~ (xp = sz00) % 113.21/81.35 | % 113.21/81.35 +-Applying beta-rule and splitting (546), into two cases. % 113.21/81.35 |-Branch one: % 113.21/81.35 | (1372) xn = sz10 % 113.21/81.35 | % 113.21/81.35 | Combining equations (1372,1379) yields a new equation: % 113.21/81.35 | (1793) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Simplifying 1793 yields: % 113.21/81.35 | (1337) sz10 = sz00 % 113.21/81.35 | % 113.21/81.35 | Equations (1337) can reduce 88 to: % 113.21/81.35 | (174) $false % 113.21/81.35 | % 113.21/81.35 |-The branch is then unsatisfiable % 113.21/81.35 |-Branch two: % 113.21/81.35 | (1364) ~ (xn = sz10) % 113.21/81.35 | (1568) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_83_2_40, v0)) % 113.21/81.35 | % 113.21/81.35 | Instantiating (1568) with all_645_0_650, all_645_1_651, all_645_2_652 yields: % 113.21/81.35 | (2106) ~ (all_645_0_650 = all_645_1_651) & ~ (all_645_2_652 = all_83_2_40) & sdtpldt0(xn, xn) = all_645_0_650 & sdtpldt0(xn, xn) = all_645_2_652 & sdtpldt0(sz10, xn) = all_645_1_651 & sdtlseqdt0(all_645_1_651, all_645_0_650) & sdtlseqdt0(all_83_2_40, all_645_2_652) % 113.21/81.35 | % 113.21/81.35 | Applying alpha-rule on (2106) yields: % 113.21/81.35 | (2107) sdtpldt0(xn, xn) = all_645_0_650 % 113.21/81.35 | (2108) sdtpldt0(xn, xn) = all_645_2_652 % 113.21/81.35 | (2109) ~ (all_645_0_650 = all_645_1_651) % 113.21/81.35 | (2110) sdtlseqdt0(all_83_2_40, all_645_2_652) % 113.21/81.35 | (2111) sdtpldt0(sz10, xn) = all_645_1_651 % 113.21/81.35 | (2112) ~ (all_645_2_652 = all_83_2_40) % 113.21/81.35 | (2113) sdtlseqdt0(all_645_1_651, all_645_0_650) % 113.21/81.35 | % 113.21/81.35 | Equations (1379) can reduce 1364 to: % 113.21/81.35 | (1775) ~ (sz10 = sz00) % 113.21/81.35 | % 113.21/81.35 | Simplifying 1775 yields: % 113.21/81.35 | (88) ~ (sz10 = sz00) % 113.21/81.36 | % 113.21/81.36 | From (1379) and (2111) follows: % 113.21/81.36 | (2116) sdtpldt0(sz10, sz00) = all_645_1_651 % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (220), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1361) xp = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1379,1361) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1593) ~ (xp = xn) % 113.21/81.36 | (1667) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0) % 113.21/81.36 | % 113.21/81.36 | Equations (1379) can reduce 1593 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (469), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1361) xp = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1379,1361) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1593) ~ (xp = xn) % 113.21/81.36 | (2127) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xp) = v0 & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 113.21/81.36 | % 113.21/81.36 | Equations (1379) can reduce 1593 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (480), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1368) xp = xm % 113.21/81.36 | % 113.21/81.36 | Combining equations (1336,1368) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1374) ~ (xp = xm) % 113.21/81.36 | (1563) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xm) = v0) % 113.21/81.36 | % 113.21/81.36 | Equations (1336) can reduce 1374 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (499), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1334) xm = sz10 % 113.21/81.36 | % 113.21/81.36 | Combining equations (1336,1334) yields a new equation: % 113.21/81.36 | (1337) sz10 = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (1337) can reduce 88 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1768) ~ (xm = sz10) % 113.21/81.36 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 113.21/81.36 | % 113.21/81.36 | Instantiating (2139) with all_669_0_660, all_669_1_661 yields: % 113.21/81.36 | (2140) ~ (all_669_0_660 = all_669_1_661) & sdtpldt0(xm, xn) = all_669_1_661 & sdtpldt0(sz10, xn) = all_669_0_660 % 113.21/81.36 | % 113.21/81.36 | Applying alpha-rule on (2140) yields: % 113.21/81.36 | (2141) ~ (all_669_0_660 = all_669_1_661) % 113.21/81.36 | (2142) sdtpldt0(xm, xn) = all_669_1_661 % 113.21/81.36 | (2143) sdtpldt0(sz10, xn) = all_669_0_660 % 113.21/81.36 | % 113.21/81.36 | Equations (1336) can reduce 1768 to: % 113.21/81.36 | (1775) ~ (sz10 = sz00) % 113.21/81.36 | % 113.21/81.36 | Simplifying 1775 yields: % 113.21/81.36 | (88) ~ (sz10 = sz00) % 113.21/81.36 | % 113.21/81.36 | From (1379) and (2143) follows: % 113.21/81.36 | (2146) sdtpldt0(sz10, sz00) = all_669_0_660 % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (564), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1363) all_54_0_19 = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1200,1363) yields a new equation: % 113.21/81.36 | (1605) xp = xn % 113.21/81.36 | % 113.21/81.36 | Simplifying 1605 yields: % 113.21/81.36 | (1361) xp = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1379,1361) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1608) ~ (all_54_0_19 = xn) % 113.21/81.36 | (2153) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xn, sz10) = v0) % 113.21/81.36 | % 113.21/81.36 | Instantiating (2153) with all_675_0_662, all_675_1_663 yields: % 113.21/81.36 | (2154) ~ (all_675_0_662 = all_675_1_663) & sdtpldt0(all_54_0_19, sz10) = all_675_0_662 & sdtpldt0(xn, sz10) = all_675_1_663 % 113.21/81.36 | % 113.21/81.36 | Applying alpha-rule on (2154) yields: % 113.21/81.36 | (2155) ~ (all_675_0_662 = all_675_1_663) % 113.21/81.36 | (2156) sdtpldt0(all_54_0_19, sz10) = all_675_0_662 % 113.21/81.36 | (2157) sdtpldt0(xn, sz10) = all_675_1_663 % 113.21/81.36 | % 113.21/81.36 | Equations (1200,1379) can reduce 1608 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 | From (1379) and (2157) follows: % 113.21/81.36 | (2159) sdtpldt0(sz00, sz10) = all_675_1_663 % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (490), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1372) xn = sz10 % 113.21/81.36 | % 113.21/81.36 | Combining equations (1372,1379) yields a new equation: % 113.21/81.36 | (1793) sz10 = sz00 % 113.21/81.36 | % 113.21/81.36 | Simplifying 1793 yields: % 113.21/81.36 | (1337) sz10 = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (1337) can reduce 88 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1364) ~ (xn = sz10) % 113.21/81.36 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 113.21/81.36 | % 113.21/81.36 | Instantiating (1529) with all_681_0_664, all_681_1_665 yields: % 113.21/81.36 | (2166) ~ (all_681_0_664 = all_0_4_4) & ~ (all_681_1_665 = all_102_2_49) & sdtpldt0(xm, xn) = all_681_1_665 & sdtpldt0(sz10, xm) = all_681_0_664 % 113.21/81.36 | % 113.21/81.36 | Applying alpha-rule on (2166) yields: % 113.21/81.36 | (2167) ~ (all_681_0_664 = all_0_4_4) % 113.21/81.36 | (2168) ~ (all_681_1_665 = all_102_2_49) % 113.21/81.36 | (2169) sdtpldt0(xm, xn) = all_681_1_665 % 113.21/81.36 | (2170) sdtpldt0(sz10, xm) = all_681_0_664 % 113.21/81.36 | % 113.21/81.36 | Equations (1379) can reduce 1364 to: % 113.21/81.36 | (1775) ~ (sz10 = sz00) % 113.21/81.36 | % 113.21/81.36 | Simplifying 1775 yields: % 113.21/81.36 | (88) ~ (sz10 = sz00) % 113.21/81.36 | % 113.21/81.36 | From (1336) and (2170) follows: % 113.21/81.36 | (2173) sdtpldt0(sz10, sz00) = all_681_0_664 % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (228), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1361) xp = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1379,1361) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1593) ~ (xp = xn) % 113.21/81.36 | (2178) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xn, xm) = v0) % 113.21/81.36 | % 113.21/81.36 | Equations (1379) can reduce 1593 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (495), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1368) xp = xm % 113.21/81.36 | % 113.21/81.36 | Combining equations (1336,1368) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1374) ~ (xp = xm) % 113.21/81.36 | (1544) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = xn) & sdtpldt0(xp, xn) = v1 & sdtpldt0(xn, xm) = v0) % 113.21/81.36 | % 113.21/81.36 | Equations (1336) can reduce 1374 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (476), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1361) xp = xn % 113.21/81.36 | % 113.21/81.36 | Combining equations (1379,1361) yields a new equation: % 113.21/81.36 | (173) xp = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (173) can reduce 37 to: % 113.21/81.36 | (174) $false % 113.21/81.36 | % 113.21/81.36 |-The branch is then unsatisfiable % 113.21/81.36 |-Branch two: % 113.21/81.36 | (1593) ~ (xp = xn) % 113.21/81.36 | (2190) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1) % 113.21/81.36 | % 113.21/81.36 | Equations (1379) can reduce 1593 to: % 113.21/81.36 | (37) ~ (xp = sz00) % 113.21/81.36 | % 113.21/81.36 +-Applying beta-rule and splitting (498), into two cases. % 113.21/81.36 |-Branch one: % 113.21/81.36 | (1334) xm = sz10 % 113.21/81.36 | % 113.21/81.36 | Combining equations (1336,1334) yields a new equation: % 113.21/81.36 | (1337) sz10 = sz00 % 113.21/81.36 | % 113.21/81.36 | Equations (1337) can reduce 88 to: % 113.21/81.36 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1768) ~ (xm = sz10) % 113.21/81.37 | (2196) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 113.21/81.37 | % 113.21/81.37 | Instantiating (2196) with all_705_0_672, all_705_1_673 yields: % 113.21/81.37 | (2197) ~ (all_705_0_672 = all_705_1_673) & sdtpldt0(xm, xn) = all_705_0_672 & sdtpldt0(sz10, xn) = all_705_1_673 % 113.21/81.37 | % 113.21/81.37 | Applying alpha-rule on (2197) yields: % 113.21/81.37 | (2198) ~ (all_705_0_672 = all_705_1_673) % 113.21/81.37 | (2199) sdtpldt0(xm, xn) = all_705_0_672 % 113.21/81.37 | (2200) sdtpldt0(sz10, xn) = all_705_1_673 % 113.21/81.37 | % 113.21/81.37 | Equations (1336) can reduce 1768 to: % 113.21/81.37 | (1775) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | Simplifying 1775 yields: % 113.21/81.37 | (88) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | From (1379) and (2200) follows: % 113.21/81.37 | (2203) sdtpldt0(sz10, sz00) = all_705_1_673 % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (475), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1361) xp = xn % 113.21/81.37 | % 113.21/81.37 | Combining equations (1379,1361) yields a new equation: % 113.21/81.37 | (173) xp = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (173) can reduce 37 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1593) ~ (xp = xn) % 113.21/81.37 | (1707) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0) % 113.21/81.37 | % 113.21/81.37 | Equations (1379) can reduce 1593 to: % 113.21/81.37 | (37) ~ (xp = sz00) % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (474), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1361) xp = xn % 113.21/81.37 | % 113.21/81.37 | Combining equations (1379,1361) yields a new equation: % 113.21/81.37 | (173) xp = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (173) can reduce 37 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1593) ~ (xp = xn) % 113.21/81.37 | (1624) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v1) % 113.21/81.37 | % 113.21/81.37 | Equations (1379) can reduce 1593 to: % 113.21/81.37 | (37) ~ (xp = sz00) % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (549), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1372) xn = sz10 % 113.21/81.37 | % 113.21/81.37 | Combining equations (1372,1379) yields a new equation: % 113.21/81.37 | (1793) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Simplifying 1793 yields: % 113.21/81.37 | (1337) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (1337) can reduce 88 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1364) ~ (xn = sz10) % 113.21/81.37 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 113.21/81.37 | % 113.21/81.37 | Instantiating (1468) with all_723_0_678, all_723_1_679, all_723_2_680 yields: % 113.21/81.37 | (2222) ~ (all_723_0_678 = all_102_1_48) & ~ (all_723_1_679 = all_723_2_680) & sdtpldt0(xm, xn) = all_723_1_679 & sdtpldt0(xm, sz10) = all_723_2_680 & sdtpldt0(xn, xm) = all_723_0_678 & sdtlseqdt0(all_723_2_680, all_723_1_679) & sdtlseqdt0(all_102_1_48, all_723_0_678) % 113.21/81.37 | % 113.21/81.37 | Applying alpha-rule on (2222) yields: % 113.21/81.37 | (2223) sdtpldt0(xm, sz10) = all_723_2_680 % 113.21/81.37 | (2224) ~ (all_723_0_678 = all_102_1_48) % 113.21/81.37 | (2225) sdtlseqdt0(all_102_1_48, all_723_0_678) % 113.21/81.37 | (2226) sdtlseqdt0(all_723_2_680, all_723_1_679) % 113.21/81.37 | (2227) ~ (all_723_1_679 = all_723_2_680) % 113.21/81.37 | (2228) sdtpldt0(xn, xm) = all_723_0_678 % 113.21/81.37 | (2229) sdtpldt0(xm, xn) = all_723_1_679 % 113.21/81.37 | % 113.21/81.37 | Equations (1379) can reduce 1364 to: % 113.21/81.37 | (1775) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | Simplifying 1775 yields: % 113.21/81.37 | (88) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | From (1336) and (2223) follows: % 113.21/81.37 | (2232) sdtpldt0(sz00, sz10) = all_723_2_680 % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (548), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1372) xn = sz10 % 113.21/81.37 | % 113.21/81.37 | Combining equations (1372,1379) yields a new equation: % 113.21/81.37 | (1793) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Simplifying 1793 yields: % 113.21/81.37 | (1337) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (1337) can reduce 88 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1364) ~ (xn = sz10) % 113.21/81.37 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 113.21/81.37 | % 113.21/81.37 | Equations (1379) can reduce 1364 to: % 113.21/81.37 | (1775) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | Simplifying 1775 yields: % 113.21/81.37 | (88) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (525), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1361) xp = xn % 113.21/81.37 | % 113.21/81.37 | Combining equations (1379,1361) yields a new equation: % 113.21/81.37 | (173) xp = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (173) can reduce 37 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1593) ~ (xp = xn) % 113.21/81.37 | (1638) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xp, sz10) = v1 & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 113.21/81.37 | % 113.21/81.37 | Instantiating (1638) with all_735_0_684, all_735_1_685, all_735_2_686 yields: % 113.21/81.37 | (2246) ~ (all_735_0_684 = all_735_1_685) & ~ (all_735_2_686 = all_83_0_38) & sdtpldt0(xp, sz10) = all_735_1_685 & sdtpldt0(xn, sz10) = all_735_0_684 & sdtpldt0(sz10, xp) = all_735_2_686 & sdtlseqdt0(all_735_1_685, all_735_0_684) & sdtlseqdt0(all_735_2_686, all_83_0_38) % 113.21/81.37 | % 113.21/81.37 | Applying alpha-rule on (2246) yields: % 113.21/81.37 | (2247) sdtlseqdt0(all_735_1_685, all_735_0_684) % 113.21/81.37 | (2248) sdtpldt0(xp, sz10) = all_735_1_685 % 113.21/81.37 | (2249) sdtlseqdt0(all_735_2_686, all_83_0_38) % 113.21/81.37 | (2250) ~ (all_735_0_684 = all_735_1_685) % 113.21/81.37 | (2251) sdtpldt0(xn, sz10) = all_735_0_684 % 113.21/81.37 | (2252) sdtpldt0(sz10, xp) = all_735_2_686 % 113.21/81.37 | (2253) ~ (all_735_2_686 = all_83_0_38) % 113.21/81.37 | % 113.21/81.37 | From (1379) and (2251) follows: % 113.21/81.37 | (2254) sdtpldt0(sz00, sz10) = all_735_0_684 % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (518), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1334) xm = sz10 % 113.21/81.37 | % 113.21/81.37 | Combining equations (1336,1334) yields a new equation: % 113.21/81.37 | (1337) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (1337) can reduce 88 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1768) ~ (xm = sz10) % 113.21/81.37 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 113.21/81.37 | % 113.21/81.37 | Instantiating (2259) with all_741_0_687, all_741_1_688 yields: % 113.21/81.37 | (2260) ~ (all_741_0_687 = all_741_1_688) & sdtpldt0(xn, xm) = all_741_0_687 & sdtpldt0(xn, sz10) = all_741_1_688 % 113.21/81.37 | % 113.21/81.37 | Applying alpha-rule on (2260) yields: % 113.21/81.37 | (2261) ~ (all_741_0_687 = all_741_1_688) % 113.21/81.37 | (2262) sdtpldt0(xn, xm) = all_741_0_687 % 113.21/81.37 | (2263) sdtpldt0(xn, sz10) = all_741_1_688 % 113.21/81.37 | % 113.21/81.37 | Equations (1336) can reduce 1768 to: % 113.21/81.37 | (1775) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | Simplifying 1775 yields: % 113.21/81.37 | (88) ~ (sz10 = sz00) % 113.21/81.37 | % 113.21/81.37 | From (1379) and (2263) follows: % 113.21/81.37 | (2266) sdtpldt0(sz00, sz10) = all_741_1_688 % 113.21/81.37 | % 113.21/81.37 +-Applying beta-rule and splitting (488), into two cases. % 113.21/81.37 |-Branch one: % 113.21/81.37 | (1372) xn = sz10 % 113.21/81.37 | % 113.21/81.37 | Combining equations (1372,1379) yields a new equation: % 113.21/81.37 | (1793) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Simplifying 1793 yields: % 113.21/81.37 | (1337) sz10 = sz00 % 113.21/81.37 | % 113.21/81.37 | Equations (1337) can reduce 88 to: % 113.21/81.37 | (174) $false % 113.21/81.37 | % 113.21/81.37 |-The branch is then unsatisfiable % 113.21/81.37 |-Branch two: % 113.21/81.37 | (1364) ~ (xn = sz10) % 113.21/81.37 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 113.21/81.37 | % 113.21/81.38 | Instantiating (1572) with all_747_0_689, all_747_1_690 yields: % 113.21/81.38 | (2273) ~ (all_747_0_689 = all_747_1_690) & sdtpldt0(xn, xm) = all_747_0_689 & sdtpldt0(sz10, xm) = all_747_1_690 % 113.21/81.38 | % 113.21/81.38 | Applying alpha-rule on (2273) yields: % 113.21/81.38 | (2274) ~ (all_747_0_689 = all_747_1_690) % 113.21/81.38 | (2275) sdtpldt0(xn, xm) = all_747_0_689 % 113.21/81.38 | (2276) sdtpldt0(sz10, xm) = all_747_1_690 % 113.21/81.38 | % 113.21/81.38 | Equations (1379) can reduce 1364 to: % 113.21/81.38 | (1775) ~ (sz10 = sz00) % 113.21/81.38 | % 113.21/81.38 | Simplifying 1775 yields: % 113.21/81.38 | (88) ~ (sz10 = sz00) % 113.21/81.38 | % 113.21/81.38 | From (1336) and (2276) follows: % 113.21/81.38 | (2279) sdtpldt0(sz10, sz00) = all_747_1_690 % 113.21/81.38 | % 113.21/81.38 +-Applying beta-rule and splitting (510), into two cases. % 113.21/81.38 |-Branch one: % 113.21/81.38 | (1372) xn = sz10 % 113.21/81.38 | % 113.21/81.38 | Combining equations (1372,1379) yields a new equation: % 113.21/81.38 | (1793) sz10 = sz00 % 113.21/81.38 | % 113.21/81.38 | Simplifying 1793 yields: % 113.21/81.38 | (1337) sz10 = sz00 % 113.21/81.38 | % 113.21/81.38 | Equations (1337) can reduce 88 to: % 113.21/81.38 | (174) $false % 113.21/81.38 | % 113.21/81.38 |-The branch is then unsatisfiable % 113.21/81.38 |-Branch two: % 113.21/81.38 | (1364) ~ (xn = sz10) % 113.21/81.38 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 113.21/81.38 | % 113.21/81.38 | Instantiating (1490) with all_753_0_691, all_753_1_692 yields: % 113.21/81.38 | (2286) ~ (all_753_0_691 = all_753_1_692) & sdtpldt0(xm, xn) = all_753_0_691 & sdtpldt0(xm, sz10) = all_753_1_692 % 113.21/81.38 | % 113.21/81.38 | Applying alpha-rule on (2286) yields: % 113.21/81.38 | (2287) ~ (all_753_0_691 = all_753_1_692) % 113.21/81.38 | (2288) sdtpldt0(xm, xn) = all_753_0_691 % 113.21/81.38 | (2289) sdtpldt0(xm, sz10) = all_753_1_692 % 113.21/81.38 | % 113.21/81.38 | Equations (1379) can reduce 1364 to: % 113.21/81.38 | (1775) ~ (sz10 = sz00) % 113.21/81.38 | % 113.21/81.38 | Simplifying 1775 yields: % 113.21/81.38 | (88) ~ (sz10 = sz00) % 113.21/81.38 | % 113.21/81.38 | From (1336) and (2289) follows: % 113.21/81.38 | (2292) sdtpldt0(sz00, sz10) = all_753_1_692 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (87) with all_52_0_18, all_102_2_49 and discharging atoms sdtpldt0(all_102_2_49, all_52_0_18) = sz00, aNaturalNumber0(all_102_2_49), aNaturalNumber0(all_52_0_18), yields: % 113.21/81.38 | (2293) all_102_2_49 = sz00 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_681_0_664, all_705_1_673 and discharging atoms sdtpldt0(sz10, sz00) = all_705_1_673, sdtpldt0(sz10, sz00) = all_681_0_664, yields: % 113.21/81.38 | (2294) all_705_1_673 = all_681_0_664 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_645_1_651, all_681_0_664 and discharging atoms sdtpldt0(sz10, sz00) = all_681_0_664, sdtpldt0(sz10, sz00) = all_645_1_651, yields: % 113.21/81.38 | (2295) all_681_0_664 = all_645_1_651 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_633_1_646, all_669_0_660 and discharging atoms sdtpldt0(sz10, sz00) = all_669_0_660, sdtpldt0(sz10, sz00) = all_633_1_646, yields: % 113.21/81.38 | (2296) all_669_0_660 = all_633_1_646 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_633_1_646, all_645_1_651 and discharging atoms sdtpldt0(sz10, sz00) = all_645_1_651, sdtpldt0(sz10, sz00) = all_633_1_646, yields: % 113.21/81.38 | (2297) all_645_1_651 = all_633_1_646 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_592_1_629, all_747_1_690 and discharging atoms sdtpldt0(sz10, sz00) = all_747_1_690, sdtpldt0(sz10, sz00) = all_592_1_629, yields: % 113.21/81.38 | (2298) all_747_1_690 = all_592_1_629 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_592_1_629, all_633_1_646 and discharging atoms sdtpldt0(sz10, sz00) = all_633_1_646, sdtpldt0(sz10, sz00) = all_592_1_629, yields: % 113.21/81.38 | (2299) all_633_1_646 = all_592_1_629 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_569_1_618, all_669_0_660 and discharging atoms sdtpldt0(sz10, sz00) = all_669_0_660, sdtpldt0(sz10, sz00) = all_569_1_618, yields: % 113.21/81.38 | (2300) all_669_0_660 = all_569_1_618 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_557_1_613, all_645_1_651 and discharging atoms sdtpldt0(sz10, sz00) = all_645_1_651, sdtpldt0(sz10, sz00) = all_557_1_613, yields: % 113.21/81.38 | (2301) all_645_1_651 = all_557_1_613 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_557_1_613, all_621_0_641 and discharging atoms sdtpldt0(sz10, sz00) = all_621_0_641, sdtpldt0(sz10, sz00) = all_557_1_613, yields: % 113.21/81.38 | (2302) all_621_0_641 = all_557_1_613 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_557_1_613, all_575_0_620 and discharging atoms sdtpldt0(sz10, sz00) = all_575_0_620, sdtpldt0(sz10, sz00) = all_557_1_613, yields: % 113.21/81.38 | (2303) all_575_0_620 = all_557_1_613 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (26) with all_557_1_613, sz10 and discharging atoms sdtpldt0(sz10, sz00) = all_557_1_613, aNaturalNumber0(sz10), yields: % 113.21/81.38 | (2304) all_557_1_613 = sz10 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_551_0_610, all_575_0_620 and discharging atoms sdtpldt0(sz10, sz00) = all_575_0_620, sdtpldt0(sz10, sz00) = all_551_0_610, yields: % 113.21/81.38 | (2305) all_575_0_620 = all_551_0_610 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_511_1_595, all_705_1_673 and discharging atoms sdtpldt0(sz10, sz00) = all_705_1_673, sdtpldt0(sz10, sz00) = all_511_1_595, yields: % 113.21/81.38 | (2306) all_705_1_673 = all_511_1_595 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_470_1_578, all_621_0_641 and discharging atoms sdtpldt0(sz10, sz00) = all_621_0_641, sdtpldt0(sz10, sz00) = all_470_1_578, yields: % 113.21/81.38 | (2307) all_621_0_641 = all_470_1_578 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz10, sz00, all_102_2_49, all_747_1_690 and discharging atoms sdtpldt0(sz10, sz00) = all_747_1_690, sdtpldt0(sz10, sz00) = all_102_2_49, yields: % 113.21/81.38 | (2308) all_747_1_690 = all_102_2_49 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_735_0_684, all_753_1_692 and discharging atoms sdtpldt0(sz00, sz10) = all_753_1_692, sdtpldt0(sz00, sz10) = all_735_0_684, yields: % 113.21/81.38 | (2309) all_753_1_692 = all_735_0_684 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_723_2_680, all_741_1_688 and discharging atoms sdtpldt0(sz00, sz10) = all_741_1_688, sdtpldt0(sz00, sz10) = all_723_2_680, yields: % 113.21/81.38 | (2310) all_741_1_688 = all_723_2_680 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_675_1_663, all_735_0_684 and discharging atoms sdtpldt0(sz00, sz10) = all_735_0_684, sdtpldt0(sz00, sz10) = all_675_1_663, yields: % 113.21/81.38 | (2311) all_735_0_684 = all_675_1_663 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_627_0_643, all_753_1_692 and discharging atoms sdtpldt0(sz00, sz10) = all_753_1_692, sdtpldt0(sz00, sz10) = all_627_0_643, yields: % 113.21/81.38 | (2312) all_753_1_692 = all_627_0_643 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_615_0_639, all_723_2_680 and discharging atoms sdtpldt0(sz00, sz10) = all_723_2_680, sdtpldt0(sz00, sz10) = all_615_0_639, yields: % 113.21/81.38 | (2313) all_723_2_680 = all_615_0_639 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_604_0_634, all_735_0_684 and discharging atoms sdtpldt0(sz00, sz10) = all_735_0_684, sdtpldt0(sz00, sz10) = all_604_0_634, yields: % 113.21/81.38 | (2314) all_735_0_684 = all_604_0_634 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_580_0_623, all_604_0_634 and discharging atoms sdtpldt0(sz00, sz10) = all_604_0_634, sdtpldt0(sz00, sz10) = all_580_0_623, yields: % 113.21/81.38 | (2315) all_604_0_634 = all_580_0_623 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_575_2_622, all_580_0_623 and discharging atoms sdtpldt0(sz00, sz10) = all_580_0_623, sdtpldt0(sz00, sz10) = all_575_2_622, yields: % 113.21/81.38 | (2316) all_580_0_623 = all_575_2_622 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_569_2_619, all_615_0_639 and discharging atoms sdtpldt0(sz00, sz10) = all_615_0_639, sdtpldt0(sz00, sz10) = all_569_2_619, yields: % 113.21/81.38 | (2317) all_615_0_639 = all_569_2_619 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_569_2_619, all_575_2_622 and discharging atoms sdtpldt0(sz00, sz10) = all_575_2_622, sdtpldt0(sz00, sz10) = all_569_2_619, yields: % 113.21/81.38 | (2318) all_575_2_622 = all_569_2_619 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_563_1_616, all_615_0_639 and discharging atoms sdtpldt0(sz00, sz10) = all_615_0_639, sdtpldt0(sz00, sz10) = all_563_1_616, yields: % 113.21/81.38 | (2319) all_615_0_639 = all_563_1_616 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_563_1_616, all_598_2_633 and discharging atoms sdtpldt0(sz00, sz10) = all_598_2_633, sdtpldt0(sz00, sz10) = all_563_1_616, yields: % 113.21/81.38 | (2320) all_598_2_633 = all_563_1_616 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_493_0_588, all_741_1_688 and discharging atoms sdtpldt0(sz00, sz10) = all_741_1_688, sdtpldt0(sz00, sz10) = all_493_0_588, yields: % 113.21/81.38 | (2321) all_741_1_688 = all_493_0_588 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_464_1_576, all_675_1_663 and discharging atoms sdtpldt0(sz00, sz10) = all_675_1_663, sdtpldt0(sz00, sz10) = all_464_1_576, yields: % 113.21/81.38 | (2322) all_675_1_663 = all_464_1_576 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_102_2_49, all_569_2_619 and discharging atoms sdtpldt0(sz00, sz10) = all_569_2_619, sdtpldt0(sz00, sz10) = all_102_2_49, yields: % 113.21/81.38 | (2323) all_569_2_619 = all_102_2_49 % 113.21/81.38 | % 113.21/81.38 | Instantiating formula (16) with sz00, sz10, all_83_2_40, all_598_2_633 and discharging atoms sdtpldt0(sz00, sz10) = all_598_2_633, sdtpldt0(sz00, sz10) = all_83_2_40, yields: % 113.21/81.38 | (2324) all_598_2_633 = all_83_2_40 % 113.21/81.38 | % 113.21/81.38 | Combining equations (2309,2312) yields a new equation: % 113.21/81.38 | (2325) all_735_0_684 = all_627_0_643 % 113.21/81.38 | % 113.21/81.38 | Simplifying 2325 yields: % 113.21/81.38 | (2326) all_735_0_684 = all_627_0_643 % 113.21/81.38 | % 113.21/81.38 | Combining equations (2298,2308) yields a new equation: % 113.21/81.38 | (2327) all_592_1_629 = all_102_2_49 % 113.21/81.38 | % 113.21/81.38 | Simplifying 2327 yields: % 113.21/81.38 | (2328) all_592_1_629 = all_102_2_49 % 113.21/81.38 | % 113.21/81.38 | Combining equations (2310,2321) yields a new equation: % 113.21/81.38 | (2329) all_723_2_680 = all_493_0_588 % 113.21/81.38 | % 113.21/81.38 | Simplifying 2329 yields: % 113.21/81.38 | (2330) all_723_2_680 = all_493_0_588 % 113.21/81.38 | % 113.21/81.38 | Combining equations (2314,2326) yields a new equation: % 113.21/81.38 | (2331) all_627_0_643 = all_604_0_634 % 113.21/81.38 | % 113.21/81.38 | Combining equations (2311,2326) yields a new equation: % 113.21/81.38 | (2332) all_675_1_663 = all_627_0_643 % 113.21/81.38 | % 113.21/81.38 | Simplifying 2332 yields: % 113.21/81.38 | (2333) all_675_1_663 = all_627_0_643 % 113.21/81.38 | % 113.21/81.39 | Combining equations (2313,2330) yields a new equation: % 113.21/81.39 | (2334) all_615_0_639 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2334 yields: % 113.21/81.39 | (2335) all_615_0_639 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2294,2306) yields a new equation: % 113.21/81.39 | (2336) all_681_0_664 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2336 yields: % 113.21/81.39 | (2337) all_681_0_664 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2295,2337) yields a new equation: % 113.21/81.39 | (2338) all_645_1_651 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2338 yields: % 113.21/81.39 | (2339) all_645_1_651 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2333,2322) yields a new equation: % 113.21/81.39 | (2340) all_627_0_643 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2340 yields: % 113.21/81.39 | (2341) all_627_0_643 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2296,2300) yields a new equation: % 113.21/81.39 | (2342) all_633_1_646 = all_569_1_618 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2342 yields: % 113.21/81.39 | (2343) all_633_1_646 = all_569_1_618 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2301,2339) yields a new equation: % 113.21/81.39 | (2344) all_557_1_613 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2344 yields: % 113.21/81.39 | (2345) all_557_1_613 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2297,2339) yields a new equation: % 113.21/81.39 | (2346) all_633_1_646 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2346 yields: % 113.21/81.39 | (2347) all_633_1_646 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2299,2343) yields a new equation: % 113.21/81.39 | (2348) all_592_1_629 = all_569_1_618 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2348 yields: % 113.21/81.39 | (2349) all_592_1_629 = all_569_1_618 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2347,2343) yields a new equation: % 113.21/81.39 | (2350) all_569_1_618 = all_511_1_595 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2331,2341) yields a new equation: % 113.21/81.39 | (2351) all_604_0_634 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2351 yields: % 113.21/81.39 | (2352) all_604_0_634 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2302,2307) yields a new equation: % 113.21/81.39 | (2353) all_557_1_613 = all_470_1_578 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2353 yields: % 113.21/81.39 | (2354) all_557_1_613 = all_470_1_578 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2319,2335) yields a new equation: % 113.21/81.39 | (2355) all_563_1_616 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2355 yields: % 113.21/81.39 | (2356) all_563_1_616 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2317,2335) yields a new equation: % 113.21/81.39 | (2357) all_569_2_619 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2357 yields: % 113.21/81.39 | (2358) all_569_2_619 = all_493_0_588 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2315,2352) yields a new equation: % 113.21/81.39 | (2359) all_580_0_623 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2359 yields: % 113.21/81.39 | (2360) all_580_0_623 = all_464_1_576 % 113.21/81.39 | % 113.21/81.39 | Combining equations (2320,2324) yields a new equation: % 113.21/81.39 | (2361) all_563_1_616 = all_83_2_40 % 113.21/81.39 | % 113.21/81.39 | Simplifying 2361 yields: % 113.21/81.39 | (2362) all_563_1_616 = all_83_2_40 % 113.21/81.39 | % 113.62/81.39 | Combining equations (2349,2328) yields a new equation: % 113.62/81.39 | (2363) all_569_1_618 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2363 yields: % 113.62/81.39 | (2364) all_569_1_618 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2316,2360) yields a new equation: % 113.62/81.39 | (2365) all_575_2_622 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2365 yields: % 113.62/81.39 | (2366) all_575_2_622 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2303,2305) yields a new equation: % 113.62/81.39 | (2367) all_557_1_613 = all_551_0_610 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2367 yields: % 113.62/81.39 | (2368) all_557_1_613 = all_551_0_610 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2318,2366) yields a new equation: % 113.62/81.39 | (2369) all_569_2_619 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2369 yields: % 113.62/81.39 | (2370) all_569_2_619 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2350,2364) yields a new equation: % 113.62/81.39 | (2371) all_511_1_595 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2371 yields: % 113.62/81.39 | (2372) all_511_1_595 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2323,2370) yields a new equation: % 113.62/81.39 | (2373) all_464_1_576 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2358,2370) yields a new equation: % 113.62/81.39 | (2374) all_493_0_588 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2374 yields: % 113.62/81.39 | (2375) all_493_0_588 = all_464_1_576 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2356,2362) yields a new equation: % 113.62/81.39 | (2376) all_493_0_588 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2376 yields: % 113.62/81.39 | (2377) all_493_0_588 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2354,2368) yields a new equation: % 113.62/81.39 | (2378) all_551_0_610 = all_470_1_578 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2304,2368) yields a new equation: % 113.62/81.39 | (2379) all_551_0_610 = sz10 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2345,2368) yields a new equation: % 113.62/81.39 | (2380) all_551_0_610 = all_511_1_595 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2380,2378) yields a new equation: % 113.62/81.39 | (2381) all_511_1_595 = all_470_1_578 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2381 yields: % 113.62/81.39 | (2382) all_511_1_595 = all_470_1_578 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2379,2378) yields a new equation: % 113.62/81.39 | (2383) all_470_1_578 = sz10 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2382,2372) yields a new equation: % 113.62/81.39 | (2384) all_470_1_578 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2384 yields: % 113.62/81.39 | (2385) all_470_1_578 = all_102_2_49 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2375,2377) yields a new equation: % 113.62/81.39 | (2386) all_464_1_576 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2386 yields: % 113.62/81.39 | (2387) all_464_1_576 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2383,2385) yields a new equation: % 113.62/81.39 | (2388) all_102_2_49 = sz10 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2373,2387) yields a new equation: % 113.62/81.39 | (2389) all_102_2_49 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Simplifying 2389 yields: % 113.62/81.39 | (2390) all_102_2_49 = all_83_2_40 % 113.62/81.39 | % 113.62/81.39 | Combining equations (2293,2390) yields a new equation: % 113.62/81.40 | (2391) all_83_2_40 = sz00 % 113.62/81.40 | % 113.62/81.40 | Combining equations (2388,2390) yields a new equation: % 113.62/81.40 | (2392) all_83_2_40 = sz10 % 113.62/81.40 | % 113.62/81.40 | Combining equations (2391,2392) yields a new equation: % 113.62/81.40 | (1337) sz10 = sz00 % 113.62/81.40 | % 113.62/81.40 | Equations (1337) can reduce 88 to: % 113.62/81.40 | (174) $false % 113.62/81.40 | % 113.62/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1339) ~ (xm = sz00) % 113.65/81.40 | (2396) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (500), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1370) xm = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1370) yields a new equation: % 113.65/81.40 | (1336) xm = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (1336) can reduce 1339 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1426) ~ (xm = xn) % 113.65/81.40 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 113.65/81.40 | % 113.65/81.40 | Equations (1379) can reduce 1426 to: % 113.65/81.40 | (1339) ~ (xm = sz00) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (222), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1361) xp = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1361) yields a new equation: % 113.65/81.40 | (173) xp = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (173) can reduce 37 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1593) ~ (xp = xn) % 113.65/81.40 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 113.65/81.40 | % 113.65/81.40 | Equations (1379) can reduce 1593 to: % 113.65/81.40 | (37) ~ (xp = sz00) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (208), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1336) xm = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (1336) can reduce 1339 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1339) ~ (xm = sz00) % 113.65/81.40 | (1633) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (141), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1361) xp = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1361) yields a new equation: % 113.65/81.40 | (173) xp = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (173) can reduce 37 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1593) ~ (xp = xn) % 113.65/81.40 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 113.65/81.40 | % 113.65/81.40 | Equations (1379) can reduce 1593 to: % 113.65/81.40 | (37) ~ (xp = sz00) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (1633), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1361) xp = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1361) yields a new equation: % 113.65/81.40 | (173) xp = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (173) can reduce 37 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1593) ~ (xp = xn) % 113.65/81.40 | (1642) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 113.65/81.40 | % 113.65/81.40 | Equations (1379) can reduce 1593 to: % 113.65/81.40 | (37) ~ (xp = sz00) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (200), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1336) xm = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (1336) can reduce 1339 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1339) ~ (xm = sz00) % 113.65/81.40 | (2428) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(all_15_3_9, v0)) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (230), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1361) xp = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1361) yields a new equation: % 113.65/81.40 | (173) xp = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (173) can reduce 37 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1593) ~ (xp = xn) % 113.65/81.40 | (1879) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 113.65/81.40 | % 113.65/81.40 | Equations (1379) can reduce 1593 to: % 113.65/81.40 | (37) ~ (xp = sz00) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (209), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1336) xm = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (1336) can reduce 1339 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1339) ~ (xm = sz00) % 113.65/81.40 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 113.65/81.40 | % 113.65/81.40 +-Applying beta-rule and splitting (1602), into two cases. % 113.65/81.40 |-Branch one: % 113.65/81.40 | (1361) xp = xn % 113.65/81.40 | % 113.65/81.40 | Combining equations (1379,1361) yields a new equation: % 113.65/81.40 | (173) xp = sz00 % 113.65/81.40 | % 113.65/81.40 | Equations (173) can reduce 37 to: % 113.65/81.40 | (174) $false % 113.65/81.40 | % 113.65/81.40 |-The branch is then unsatisfiable % 113.65/81.40 |-Branch two: % 113.65/81.40 | (1593) ~ (xp = xn) % 113.65/81.40 | (1620) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 113.68/81.40 | % 113.68/81.40 | Equations (1379) can reduce 1593 to: % 113.68/81.40 | (37) ~ (xp = sz00) % 113.68/81.40 | % 113.68/81.40 +-Applying beta-rule and splitting (1300), into two cases. % 113.68/81.40 |-Branch one: % 113.68/81.40 | (1336) xm = sz00 % 113.68/81.40 | % 113.68/81.40 | Equations (1336) can reduce 1339 to: % 113.68/81.40 | (174) $false % 113.68/81.40 | % 113.68/81.40 |-The branch is then unsatisfiable % 113.68/81.40 |-Branch two: % 113.68/81.40 | (1339) ~ (xm = sz00) % 113.68/81.40 | (1477) all_214_0_128 = xn % 113.68/81.40 | % 113.68/81.40 | Combining equations (1379,1477) yields a new equation: % 113.68/81.40 | (2449) all_214_0_128 = sz00 % 113.68/81.40 | % 113.68/81.40 +-Applying beta-rule and splitting (201), into two cases. % 113.68/81.40 |-Branch one: % 113.68/81.40 | (1336) xm = sz00 % 113.68/81.40 | % 113.68/81.40 | Equations (1336) can reduce 1339 to: % 113.68/81.40 | (174) $false % 113.68/81.40 | % 113.68/81.40 |-The branch is then unsatisfiable % 113.68/81.40 |-Branch two: % 113.68/81.40 | (1339) ~ (xm = sz00) % 113.68/81.40 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 113.68/81.40 | % 113.68/81.40 +-Applying beta-rule and splitting (1346), into two cases. % 113.68/81.40 |-Branch one: % 113.68/81.41 | (1361) xp = xn % 113.68/81.41 | % 113.68/81.41 | Combining equations (1379,1361) yields a new equation: % 113.68/81.41 | (173) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (173) can reduce 37 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1593) ~ (xp = xn) % 113.68/81.41 | (2458) ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 113.68/81.41 | % 113.68/81.41 | Equations (1379) can reduce 1593 to: % 113.68/81.41 | (37) ~ (xp = sz00) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (204), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1336) xm = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1336) can reduce 1339 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1339) ~ (xm = sz00) % 113.68/81.41 | (2463) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v1 & sdtasdt0(xp, xm) = v0) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (1299), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1336) xm = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1336) can reduce 1339 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1339) ~ (xm = sz00) % 113.68/81.41 | (2467) all_214_0_128 = all_212_0_127 % 113.68/81.41 | % 113.68/81.41 | Combining equations (2467,2449) yields a new equation: % 113.68/81.41 | (2468) all_212_0_127 = sz00 % 113.68/81.41 | % 113.68/81.41 | Simplifying 2468 yields: % 113.68/81.41 | (2469) all_212_0_127 = sz00 % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (558), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1363) all_54_0_19 = xn % 113.68/81.41 | % 113.68/81.41 | Combining equations (1200,1363) yields a new equation: % 113.68/81.41 | (1605) xp = xn % 113.68/81.41 | % 113.68/81.41 | Simplifying 1605 yields: % 113.68/81.41 | (1361) xp = xn % 113.68/81.41 | % 113.68/81.41 | Combining equations (1379,1361) yields a new equation: % 113.68/81.41 | (173) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (173) can reduce 37 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1608) ~ (all_54_0_19 = xn) % 113.68/81.41 | (1784) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 113.68/81.41 | % 113.68/81.41 | Equations (1200,1379) can reduce 1608 to: % 113.68/81.41 | (37) ~ (xp = sz00) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (2463), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1360) xr = xp % 113.68/81.41 | % 113.68/81.41 | Combining equations (1360,1377) yields a new equation: % 113.68/81.41 | (1222) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Simplifying 1222 yields: % 113.68/81.41 | (173) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (173) can reduce 37 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1590) ~ (xr = xp) % 113.68/81.41 | (2483) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v1 & sdtasdt0(xp, xm) = v0) % 113.68/81.41 | % 113.68/81.41 | Equations (1377) can reduce 1590 to: % 113.68/81.41 | (2098) ~ (xp = sz00) % 113.68/81.41 | % 113.68/81.41 | Simplifying 2098 yields: % 113.68/81.41 | (37) ~ (xp = sz00) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (1301), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1336) xm = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1336) can reduce 1339 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1339) ~ (xm = sz00) % 113.68/81.41 | (1340) all_212_0_127 = xp % 113.68/81.41 | % 113.68/81.41 | Combining equations (1340,2469) yields a new equation: % 113.68/81.41 | (1222) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Simplifying 1222 yields: % 113.68/81.41 | (173) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (173) can reduce 37 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1365) ~ (xn = sz00) % 113.68/81.41 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (1021), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1379) xn = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1379) can reduce 1365 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1365) ~ (xn = sz00) % 113.68/81.41 | (1415) all_146_0_54 = xm % 113.68/81.41 | % 113.68/81.41 | From (1415) and (600) follows: % 113.68/81.41 | (107) aNaturalNumber0(xm) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (127), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1377) xr = sz00 % 113.68/81.41 | % 113.68/81.41 | Combining equations (1377,310) yields a new equation: % 113.68/81.41 | (1379) xn = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1379) can reduce 1365 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1381) ~ (xr = sz00) % 113.68/81.41 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 113.68/81.41 | % 113.68/81.41 | Equations (310) can reduce 1381 to: % 113.68/81.41 | (1365) ~ (xn = sz00) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (137), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1336) xm = sz00 % 113.68/81.41 | % 113.68/81.41 | From (1336) and (1172) follows: % 113.68/81.41 | (1762) sdtpldt0(all_102_2_49, all_52_0_18) = sz00 % 113.68/81.41 | % 113.68/81.41 | From (1336) and (494) follows: % 113.68/81.41 | (1764) sdtpldt0(sz10, sz00) = all_102_2_49 % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (521), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1370) xm = xn % 113.68/81.41 | % 113.68/81.41 | Combining equations (1370,1336) yields a new equation: % 113.68/81.41 | (1378) xn = sz00 % 113.68/81.41 | % 113.68/81.41 | Simplifying 1378 yields: % 113.68/81.41 | (1379) xn = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1379) can reduce 1365 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1426) ~ (xm = xn) % 113.68/81.41 | (1581) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.41 | % 113.68/81.41 | Instantiating (1581) with all_476_0_720, all_476_1_721 yields: % 113.68/81.41 | (2515) ~ (all_476_0_720 = all_102_2_49) & ~ (all_476_1_721 = all_83_0_38) & sdtpldt0(xn, sz10) = all_476_0_720 & sdtpldt0(sz10, xm) = all_476_1_721 % 113.68/81.41 | % 113.68/81.41 | Applying alpha-rule on (2515) yields: % 113.68/81.41 | (2516) ~ (all_476_0_720 = all_102_2_49) % 113.68/81.41 | (2517) ~ (all_476_1_721 = all_83_0_38) % 113.68/81.41 | (2518) sdtpldt0(xn, sz10) = all_476_0_720 % 113.68/81.41 | (2519) sdtpldt0(sz10, xm) = all_476_1_721 % 113.68/81.41 | % 113.68/81.41 | Equations (1336) can reduce 1426 to: % 113.68/81.41 | (2520) ~ (xn = sz00) % 113.68/81.41 | % 113.68/81.41 | Simplifying 2520 yields: % 113.68/81.41 | (1365) ~ (xn = sz00) % 113.68/81.41 | % 113.68/81.41 | From (1336) and (2519) follows: % 113.68/81.41 | (2522) sdtpldt0(sz10, sz00) = all_476_1_721 % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (481), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1368) xp = xm % 113.68/81.41 | % 113.68/81.41 | Combining equations (1336,1368) yields a new equation: % 113.68/81.41 | (173) xp = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (173) can reduce 37 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1374) ~ (xp = xm) % 113.68/81.41 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 113.68/81.41 | % 113.68/81.41 | Equations (1336) can reduce 1374 to: % 113.68/81.41 | (37) ~ (xp = sz00) % 113.68/81.41 | % 113.68/81.41 +-Applying beta-rule and splitting (499), into two cases. % 113.68/81.41 |-Branch one: % 113.68/81.41 | (1334) xm = sz10 % 113.68/81.41 | % 113.68/81.41 | Combining equations (1334,1336) yields a new equation: % 113.68/81.41 | (1793) sz10 = sz00 % 113.68/81.41 | % 113.68/81.41 | Simplifying 1793 yields: % 113.68/81.41 | (1337) sz10 = sz00 % 113.68/81.41 | % 113.68/81.41 | Equations (1337) can reduce 88 to: % 113.68/81.41 | (174) $false % 113.68/81.41 | % 113.68/81.41 |-The branch is then unsatisfiable % 113.68/81.41 |-Branch two: % 113.68/81.41 | (1768) ~ (xm = sz10) % 113.68/81.41 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.41 | % 113.68/81.42 | Equations (1336) can reduce 1768 to: % 113.68/81.42 | (1775) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 1775 yields: % 113.68/81.42 | (88) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (557), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1434) all_54_0_19 = xm % 113.68/81.42 | % 113.68/81.42 | Combining equations (1200,1434) yields a new equation: % 113.68/81.42 | (1838) xp = xm % 113.68/81.42 | % 113.68/81.42 | Simplifying 1838 yields: % 113.68/81.42 | (1368) xp = xm % 113.68/81.42 | % 113.68/81.42 | Combining equations (1336,1368) yields a new equation: % 113.68/81.42 | (173) xp = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (173) can reduce 37 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1438) ~ (all_54_0_19 = xm) % 113.68/81.42 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.42 | % 113.68/81.42 | Instantiating (1485) with all_494_0_726, all_494_1_727 yields: % 113.68/81.42 | (2544) ~ (all_494_0_726 = all_102_2_49) & ~ (all_494_1_727 = sz10) & sdtpldt0(all_54_0_19, sz10) = all_494_0_726 & sdtpldt0(sz10, xm) = all_494_1_727 % 113.68/81.42 | % 113.68/81.42 | Applying alpha-rule on (2544) yields: % 113.68/81.42 | (2545) ~ (all_494_0_726 = all_102_2_49) % 113.68/81.42 | (2546) ~ (all_494_1_727 = sz10) % 113.68/81.42 | (2547) sdtpldt0(all_54_0_19, sz10) = all_494_0_726 % 113.68/81.42 | (2548) sdtpldt0(sz10, xm) = all_494_1_727 % 113.68/81.42 | % 113.68/81.42 | From (1336) and (2548) follows: % 113.68/81.42 | (2549) sdtpldt0(sz10, sz00) = all_494_1_727 % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (497), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1334) xm = sz10 % 113.68/81.42 | % 113.68/81.42 | Combining equations (1334,1336) yields a new equation: % 113.68/81.42 | (1793) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1793 yields: % 113.68/81.42 | (1337) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1337) can reduce 88 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1768) ~ (xm = sz10) % 113.68/81.42 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1768 to: % 113.68/81.42 | (1775) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 1775 yields: % 113.68/81.42 | (88) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (500), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1370) xm = xn % 113.68/81.42 | % 113.68/81.42 | Combining equations (1370,1336) yields a new equation: % 113.68/81.42 | (1378) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1378 yields: % 113.68/81.42 | (1379) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1379) can reduce 1365 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1426) ~ (xm = xn) % 113.68/81.42 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 113.68/81.42 | % 113.68/81.42 | Instantiating (1427) with all_506_0_730, all_506_1_731 yields: % 113.68/81.42 | (2564) ~ (all_506_0_730 = all_506_1_731) & sdtpldt0(sz10, xm) = all_506_0_730 & sdtpldt0(sz10, xn) = all_506_1_731 % 113.68/81.42 | % 113.68/81.42 | Applying alpha-rule on (2564) yields: % 113.68/81.42 | (2565) ~ (all_506_0_730 = all_506_1_731) % 113.68/81.42 | (2566) sdtpldt0(sz10, xm) = all_506_0_730 % 113.68/81.42 | (2567) sdtpldt0(sz10, xn) = all_506_1_731 % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1426 to: % 113.68/81.42 | (2520) ~ (xn = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 2520 yields: % 113.68/81.42 | (1365) ~ (xn = sz00) % 113.68/81.42 | % 113.68/81.42 | From (1336) and (2566) follows: % 113.68/81.42 | (2570) sdtpldt0(sz10, sz00) = all_506_0_730 % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (520), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1334) xm = sz10 % 113.68/81.42 | % 113.68/81.42 | Combining equations (1334,1336) yields a new equation: % 113.68/81.42 | (1793) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1793 yields: % 113.68/81.42 | (1337) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1337) can reduce 88 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1768) ~ (xm = sz10) % 113.68/81.42 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1768 to: % 113.68/81.42 | (1775) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 1775 yields: % 113.68/81.42 | (88) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (514), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1370) xm = xn % 113.68/81.42 | % 113.68/81.42 | Combining equations (1370,1336) yields a new equation: % 113.68/81.42 | (1378) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1378 yields: % 113.68/81.42 | (1379) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1379) can reduce 1365 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1426) ~ (xm = xn) % 113.68/81.42 | (1462) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1426 to: % 113.68/81.42 | (2520) ~ (xn = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 2520 yields: % 113.68/81.42 | (1365) ~ (xn = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (498), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1334) xm = sz10 % 113.68/81.42 | % 113.68/81.42 | Combining equations (1334,1336) yields a new equation: % 113.68/81.42 | (1793) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1793 yields: % 113.68/81.42 | (1337) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1337) can reduce 88 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1768) ~ (xm = sz10) % 113.68/81.42 | (2196) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1768 to: % 113.68/81.42 | (1775) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 1775 yields: % 113.68/81.42 | (88) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (518), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1334) xm = sz10 % 113.68/81.42 | % 113.68/81.42 | Combining equations (1334,1336) yields a new equation: % 113.68/81.42 | (1793) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1793 yields: % 113.68/81.42 | (1337) sz10 = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1337) can reduce 88 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1768) ~ (xm = sz10) % 113.68/81.42 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 113.68/81.42 | % 113.68/81.42 | Equations (1336) can reduce 1768 to: % 113.68/81.42 | (1775) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 | Simplifying 1775 yields: % 113.68/81.42 | (88) ~ (sz10 = sz00) % 113.68/81.42 | % 113.68/81.42 +-Applying beta-rule and splitting (501), into two cases. % 113.68/81.42 |-Branch one: % 113.68/81.42 | (1370) xm = xn % 113.68/81.42 | % 113.68/81.42 | Combining equations (1370,1336) yields a new equation: % 113.68/81.42 | (1378) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Simplifying 1378 yields: % 113.68/81.42 | (1379) xn = sz00 % 113.68/81.42 | % 113.68/81.42 | Equations (1379) can reduce 1365 to: % 113.68/81.42 | (174) $false % 113.68/81.42 | % 113.68/81.42 |-The branch is then unsatisfiable % 113.68/81.42 |-Branch two: % 113.68/81.42 | (1426) ~ (xm = xn) % 113.68/81.42 | (1446) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.42 | % 113.68/81.42 | Instantiating (1446) with all_572_0_752, all_572_1_753 yields: % 113.68/81.42 | (2609) ~ (all_572_0_752 = all_572_1_753) & sdtpldt0(sz10, xm) = all_572_1_753 & sdtpldt0(sz10, xn) = all_572_0_752 % 113.68/81.42 | % 113.68/81.42 | Applying alpha-rule on (2609) yields: % 113.68/81.42 | (2610) ~ (all_572_0_752 = all_572_1_753) % 113.68/81.42 | (2611) sdtpldt0(sz10, xm) = all_572_1_753 % 113.68/81.42 | (2612) sdtpldt0(sz10, xn) = all_572_0_752 % 113.68/81.42 | % 113.68/81.42 | From (1336) and (2611) follows: % 113.68/81.42 | (2613) sdtpldt0(sz10, sz00) = all_572_1_753 % 113.68/81.42 | % 113.68/81.42 | Instantiating formula (87) with all_52_0_18, all_102_2_49 and discharging atoms sdtpldt0(all_102_2_49, all_52_0_18) = sz00, aNaturalNumber0(all_102_2_49), aNaturalNumber0(all_52_0_18), yields: % 113.68/81.42 | (2293) all_102_2_49 = sz00 % 113.68/81.42 | % 113.68/81.42 | Instantiating formula (16) with sz10, sz00, all_494_1_727, all_572_1_753 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_753, sdtpldt0(sz10, sz00) = all_494_1_727, yields: % 113.68/81.42 | (2615) all_572_1_753 = all_494_1_727 % 113.68/81.42 | % 113.68/81.42 | Instantiating formula (16) with sz10, sz00, all_494_1_727, all_506_0_730 and discharging atoms sdtpldt0(sz10, sz00) = all_506_0_730, sdtpldt0(sz10, sz00) = all_494_1_727, yields: % 113.68/81.43 | (2616) all_506_0_730 = all_494_1_727 % 113.68/81.43 | % 113.68/81.43 | Instantiating formula (26) with all_494_1_727, sz10 and discharging atoms sdtpldt0(sz10, sz00) = all_494_1_727, aNaturalNumber0(sz10), yields: % 113.68/81.43 | (2617) all_494_1_727 = sz10 % 113.68/81.43 | % 113.68/81.43 | Instantiating formula (16) with sz10, sz00, all_476_1_721, all_572_1_753 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_753, sdtpldt0(sz10, sz00) = all_476_1_721, yields: % 113.68/81.43 | (2618) all_572_1_753 = all_476_1_721 % 113.68/81.43 | % 113.68/81.43 | Instantiating formula (16) with sz10, sz00, all_102_2_49, all_506_0_730 and discharging atoms sdtpldt0(sz10, sz00) = all_506_0_730, sdtpldt0(sz10, sz00) = all_102_2_49, yields: % 113.68/81.43 | (2619) all_506_0_730 = all_102_2_49 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2615,2618) yields a new equation: % 113.68/81.43 | (2620) all_494_1_727 = all_476_1_721 % 113.68/81.43 | % 113.68/81.43 | Simplifying 2620 yields: % 113.68/81.43 | (2621) all_494_1_727 = all_476_1_721 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2616,2619) yields a new equation: % 113.68/81.43 | (2622) all_494_1_727 = all_102_2_49 % 113.68/81.43 | % 113.68/81.43 | Simplifying 2622 yields: % 113.68/81.43 | (2623) all_494_1_727 = all_102_2_49 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2617,2621) yields a new equation: % 113.68/81.43 | (2624) all_476_1_721 = sz10 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2623,2621) yields a new equation: % 113.68/81.43 | (2625) all_476_1_721 = all_102_2_49 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2624,2625) yields a new equation: % 113.68/81.43 | (2388) all_102_2_49 = sz10 % 113.68/81.43 | % 113.68/81.43 | Combining equations (2293,2388) yields a new equation: % 113.68/81.43 | (1337) sz10 = sz00 % 113.68/81.43 | % 113.68/81.43 | Equations (1337) can reduce 88 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1339) ~ (xm = sz00) % 113.68/81.43 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (194), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1336) xm = sz00 % 113.68/81.43 | % 113.68/81.43 | Equations (1336) can reduce 1339 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1339) ~ (xm = sz00) % 113.68/81.43 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (1302), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1336) xm = sz00 % 113.68/81.43 | % 113.68/81.43 | Equations (1336) can reduce 1339 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1339) ~ (xm = sz00) % 113.68/81.43 | (1361) xp = xn % 113.68/81.43 | % 113.68/81.43 | Equations (1361) can reduce 18 to: % 113.68/81.43 | (1364) ~ (xn = sz10) % 113.68/81.43 | % 113.68/81.43 | From (1361) and (1213) follows: % 113.68/81.43 | (2640) sdtpldt0(xn, sz10) = sz10 % 113.68/81.43 | % 113.68/81.43 | From (1361) and (451) follows: % 113.68/81.43 | (2641) sdtpldt0(xm, xn) = xm % 113.68/81.43 | % 113.68/81.43 | From (1361) and (540) follows: % 113.68/81.43 | (252) sdtlseqdt0(xn, all_0_4_4) % 113.68/81.43 | % 113.68/81.43 | From (1361) and (479) follows: % 113.68/81.43 | (2643) sdtlseqdt0(xn, xm) % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (490), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1372) xn = sz10 % 113.68/81.43 | % 113.68/81.43 | Equations (1372) can reduce 1364 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1364) ~ (xn = sz10) % 113.68/81.43 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 113.68/81.43 | % 113.68/81.43 | Instantiating (1529) with all_484_0_754, all_484_1_755 yields: % 113.68/81.43 | (2648) ~ (all_484_0_754 = all_0_4_4) & ~ (all_484_1_755 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_755 & sdtpldt0(sz10, xm) = all_484_0_754 % 113.68/81.43 | % 113.68/81.43 | Applying alpha-rule on (2648) yields: % 113.68/81.43 | (2649) ~ (all_484_0_754 = all_0_4_4) % 113.68/81.43 | (2650) ~ (all_484_1_755 = all_102_2_49) % 113.68/81.43 | (2651) sdtpldt0(xm, xn) = all_484_1_755 % 113.68/81.43 | (2652) sdtpldt0(sz10, xm) = all_484_0_754 % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (542), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1372) xn = sz10 % 113.68/81.43 | % 113.68/81.43 | Equations (1372) can reduce 1364 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1364) ~ (xn = sz10) % 113.68/81.43 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 113.68/81.43 | % 113.68/81.43 | Instantiating (1452) with all_490_0_756, all_490_1_757, all_490_2_758 yields: % 113.68/81.43 | (2657) ~ (all_490_0_756 = all_490_1_757) & ~ (all_490_2_758 = all_0_4_4) & sdtpldt0(xm, sz10) = all_490_2_758 & sdtpldt0(xn, xm) = all_490_0_756 & sdtpldt0(sz10, xm) = all_490_1_757 & sdtlseqdt0(all_490_1_757, all_490_0_756) & sdtlseqdt0(all_490_2_758, all_0_4_4) % 113.68/81.43 | % 113.68/81.43 | Applying alpha-rule on (2657) yields: % 113.68/81.43 | (2658) ~ (all_490_2_758 = all_0_4_4) % 113.68/81.43 | (2659) sdtpldt0(sz10, xm) = all_490_1_757 % 113.68/81.43 | (2660) ~ (all_490_0_756 = all_490_1_757) % 113.68/81.43 | (2661) sdtlseqdt0(all_490_2_758, all_0_4_4) % 113.68/81.43 | (2662) sdtlseqdt0(all_490_1_757, all_490_0_756) % 113.68/81.43 | (2663) sdtpldt0(xn, xm) = all_490_0_756 % 113.68/81.43 | (2664) sdtpldt0(xm, sz10) = all_490_2_758 % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (550), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1372) xn = sz10 % 113.68/81.43 | % 113.68/81.43 | Equations (1372) can reduce 1364 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1364) ~ (xn = sz10) % 113.68/81.43 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 113.68/81.43 | % 113.68/81.43 | Instantiating (1537) with all_495_0_759, all_495_1_760, all_495_2_761 yields: % 113.68/81.43 | (2669) ~ (all_495_0_759 = all_495_1_760) & ~ (all_495_2_761 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_759 & sdtpldt0(sz10, sz10) = all_495_1_760 & sdtpldt0(sz10, sz10) = all_495_2_761 & sdtlseqdt0(all_495_1_760, all_495_0_759) & sdtlseqdt0(all_495_2_761, all_83_0_38) % 113.68/81.43 | % 113.68/81.43 | Applying alpha-rule on (2669) yields: % 113.68/81.43 | (2670) ~ (all_495_2_761 = all_83_0_38) % 113.68/81.43 | (2671) ~ (all_495_0_759 = all_495_1_760) % 113.68/81.43 | (2672) sdtpldt0(xn, sz10) = all_495_0_759 % 113.68/81.43 | (2673) sdtlseqdt0(all_495_2_761, all_83_0_38) % 113.68/81.43 | (2674) sdtpldt0(sz10, sz10) = all_495_1_760 % 113.68/81.43 | (2675) sdtlseqdt0(all_495_1_760, all_495_0_759) % 113.68/81.43 | (2676) sdtpldt0(sz10, sz10) = all_495_2_761 % 113.68/81.43 | % 113.68/81.43 +-Applying beta-rule and splitting (549), into two cases. % 113.68/81.43 |-Branch one: % 113.68/81.43 | (1372) xn = sz10 % 113.68/81.43 | % 113.68/81.43 | Equations (1372) can reduce 1364 to: % 113.68/81.43 | (174) $false % 113.68/81.43 | % 113.68/81.43 |-The branch is then unsatisfiable % 113.68/81.43 |-Branch two: % 113.68/81.43 | (1364) ~ (xn = sz10) % 113.68/81.43 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 113.68/81.43 | % 113.68/81.43 | Instantiating (1468) with all_501_0_762, all_501_1_763, all_501_2_764 yields: % 113.68/81.43 | (2681) ~ (all_501_0_762 = all_102_1_48) & ~ (all_501_1_763 = all_501_2_764) & sdtpldt0(xm, xn) = all_501_1_763 & sdtpldt0(xm, sz10) = all_501_2_764 & sdtpldt0(xn, xm) = all_501_0_762 & sdtlseqdt0(all_501_2_764, all_501_1_763) & sdtlseqdt0(all_102_1_48, all_501_0_762) % 113.68/81.44 | % 113.68/81.44 | Applying alpha-rule on (2681) yields: % 113.68/81.44 | (2682) ~ (all_501_0_762 = all_102_1_48) % 113.68/81.44 | (2683) sdtlseqdt0(all_501_2_764, all_501_1_763) % 113.68/81.44 | (2684) sdtpldt0(xn, xm) = all_501_0_762 % 113.68/81.44 | (2685) sdtpldt0(xm, sz10) = all_501_2_764 % 113.68/81.44 | (2686) ~ (all_501_1_763 = all_501_2_764) % 113.68/81.44 | (2687) sdtpldt0(xm, xn) = all_501_1_763 % 113.68/81.44 | (2688) sdtlseqdt0(all_102_1_48, all_501_0_762) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (488), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.44 | % 113.68/81.44 | Instantiating (1572) with all_507_0_765, all_507_1_766 yields: % 113.68/81.44 | (2693) ~ (all_507_0_765 = all_507_1_766) & sdtpldt0(xn, xm) = all_507_0_765 & sdtpldt0(sz10, xm) = all_507_1_766 % 113.68/81.44 | % 113.68/81.44 | Applying alpha-rule on (2693) yields: % 113.68/81.44 | (2694) ~ (all_507_0_765 = all_507_1_766) % 113.68/81.44 | (2695) sdtpldt0(xn, xm) = all_507_0_765 % 113.68/81.44 | (2696) sdtpldt0(sz10, xm) = all_507_1_766 % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (534), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (2697) all_0_4_4 = xm % 113.68/81.44 | % 113.68/81.44 | From (2697) and (363) follows: % 113.68/81.44 | (2698) sdtpldt0(xm, sz10) = all_97_2_46 % 113.68/81.44 | % 113.68/81.44 | From (2697) and (1274) follows: % 113.68/81.44 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 113.68/81.44 | % 113.68/81.44 | From (2697) and (252) follows: % 113.68/81.44 | (2643) sdtlseqdt0(xn, xm) % 113.68/81.44 | % 113.68/81.44 | From (2697) and (144) follows: % 113.68/81.44 | (107) aNaturalNumber0(xm) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (551), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 113.68/81.44 | % 113.68/81.44 | Instantiating (1502) with all_517_0_767, all_517_1_768, all_517_2_769 yields: % 113.68/81.44 | (2706) ~ (all_517_0_767 = all_83_0_38) & ~ (all_517_1_768 = all_517_2_769) & sdtpldt0(xn, xn) = all_517_0_767 & sdtpldt0(xn, xn) = all_517_1_768 & sdtpldt0(xn, sz10) = all_517_2_769 & sdtlseqdt0(all_517_2_769, all_517_1_768) & sdtlseqdt0(all_83_0_38, all_517_0_767) % 113.68/81.44 | % 113.68/81.44 | Applying alpha-rule on (2706) yields: % 113.68/81.44 | (2707) sdtpldt0(xn, xn) = all_517_0_767 % 113.68/81.44 | (2708) sdtpldt0(xn, xn) = all_517_1_768 % 113.68/81.44 | (2709) sdtlseqdt0(all_517_2_769, all_517_1_768) % 113.68/81.44 | (2710) ~ (all_517_1_768 = all_517_2_769) % 113.68/81.44 | (2711) ~ (all_517_0_767 = all_83_0_38) % 113.68/81.44 | (2712) sdtlseqdt0(all_83_0_38, all_517_0_767) % 113.68/81.44 | (2713) sdtpldt0(xn, sz10) = all_517_2_769 % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (1018), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1336) xm = sz00 % 113.68/81.44 | % 113.68/81.44 | Equations (1336) can reduce 1339 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1339) ~ (xm = sz00) % 113.68/81.44 | (1712) all_212_0_127 = xn % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (583), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (545), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 113.68/81.44 | % 113.68/81.44 | Instantiating (1587) with all_533_0_773, all_533_1_774, all_533_2_775 yields: % 113.68/81.44 | (2726) ~ (all_533_0_773 = all_533_1_774) & ~ (all_533_2_775 = all_102_2_49) & sdtpldt0(xm, xn) = all_533_2_775 & sdtpldt0(xn, xm) = all_533_0_773 & sdtpldt0(sz10, xm) = all_533_1_774 & sdtlseqdt0(all_533_1_774, all_533_0_773) & sdtlseqdt0(all_102_2_49, all_533_2_775) % 113.68/81.44 | % 113.68/81.44 | Applying alpha-rule on (2726) yields: % 113.68/81.44 | (2727) sdtpldt0(xm, xn) = all_533_2_775 % 113.68/81.44 | (2728) sdtpldt0(sz10, xm) = all_533_1_774 % 113.68/81.44 | (2729) sdtlseqdt0(all_533_1_774, all_533_0_773) % 113.68/81.44 | (2730) sdtpldt0(xn, xm) = all_533_0_773 % 113.68/81.44 | (2731) sdtlseqdt0(all_102_2_49, all_533_2_775) % 113.68/81.44 | (2732) ~ (all_533_0_773 = all_533_1_774) % 113.68/81.44 | (2733) ~ (all_533_2_775 = all_102_2_49) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (1300), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1336) xm = sz00 % 113.68/81.44 | % 113.68/81.44 | Equations (1336) can reduce 1339 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1339) ~ (xm = sz00) % 113.68/81.44 | (1477) all_214_0_128 = xn % 113.68/81.44 | % 113.68/81.44 | From (1477) and (725) follows: % 113.68/81.44 | (113) aNaturalNumber0(xn) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (547), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (543), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.44 | % 113.68/81.44 |-The branch is then unsatisfiable % 113.68/81.44 |-Branch two: % 113.68/81.44 | (1364) ~ (xn = sz10) % 113.68/81.44 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 113.68/81.44 | % 113.68/81.44 | Instantiating (1421) with all_549_0_779, all_549_1_780, all_549_2_781 yields: % 113.68/81.44 | (2747) ~ (all_549_0_779 = all_0_4_4) & ~ (all_549_1_780 = all_549_2_781) & sdtpldt0(xm, xn) = all_549_1_780 & sdtpldt0(xm, sz10) = all_549_2_781 & sdtpldt0(sz10, xm) = all_549_0_779 & sdtlseqdt0(all_549_0_779, all_0_4_4) & sdtlseqdt0(all_549_2_781, all_549_1_780) % 113.68/81.44 | % 113.68/81.44 | Applying alpha-rule on (2747) yields: % 113.68/81.44 | (2748) ~ (all_549_1_780 = all_549_2_781) % 113.68/81.44 | (2749) sdtpldt0(sz10, xm) = all_549_0_779 % 113.68/81.44 | (2750) sdtlseqdt0(all_549_0_779, all_0_4_4) % 113.68/81.44 | (2751) sdtlseqdt0(all_549_2_781, all_549_1_780) % 113.68/81.44 | (2752) ~ (all_549_0_779 = all_0_4_4) % 113.68/81.44 | (2753) sdtpldt0(xm, sz10) = all_549_2_781 % 113.68/81.44 | (2754) sdtpldt0(xm, xn) = all_549_1_780 % 113.68/81.44 | % 113.68/81.44 +-Applying beta-rule and splitting (1391), into two cases. % 113.68/81.44 |-Branch one: % 113.68/81.44 | (1372) xn = sz10 % 113.68/81.44 | % 113.68/81.44 | Equations (1372) can reduce 1364 to: % 113.68/81.44 | (174) $false % 113.68/81.45 | % 113.68/81.45 |-The branch is then unsatisfiable % 113.68/81.45 |-Branch two: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 113.68/81.45 | % 113.68/81.45 +-Applying beta-rule and splitting (548), into two cases. % 113.68/81.45 |-Branch one: % 113.68/81.45 | (1372) xn = sz10 % 113.68/81.45 | % 113.68/81.45 | Equations (1372) can reduce 1364 to: % 113.68/81.45 | (174) $false % 113.68/81.45 | % 113.68/81.45 |-The branch is then unsatisfiable % 113.68/81.45 |-Branch two: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 113.68/81.45 | % 113.68/81.45 +-Applying beta-rule and splitting (1382), into two cases. % 113.68/81.45 |-Branch one: % 113.68/81.45 | (1392) xr = sz10 % 113.68/81.45 | % 113.68/81.45 | Combining equations (310,1392) yields a new equation: % 113.68/81.45 | (1371) xn = sz10 % 113.68/81.45 | % 113.68/81.45 | Simplifying 1371 yields: % 113.68/81.45 | (1372) xn = sz10 % 113.68/81.45 | % 113.68/81.45 | Equations (1372) can reduce 1364 to: % 113.68/81.45 | (174) $false % 113.68/81.45 | % 113.68/81.45 |-The branch is then unsatisfiable % 113.68/81.45 |-Branch two: % 113.68/81.45 | (1396) ~ (xr = sz10) % 113.68/81.45 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 113.68/81.45 | % 113.68/81.45 | Equations (310) can reduce 1396 to: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | % 113.68/81.45 +-Applying beta-rule and splitting (509), into two cases. % 113.68/81.45 |-Branch one: % 113.68/81.45 | (1372) xn = sz10 % 113.68/81.45 | % 113.68/81.45 | Equations (1372) can reduce 1364 to: % 113.68/81.45 | (174) $false % 113.68/81.45 | % 113.68/81.45 |-The branch is then unsatisfiable % 113.68/81.45 |-Branch two: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 113.68/81.45 | % 113.68/81.45 +-Applying beta-rule and splitting (544), into two cases. % 113.68/81.45 |-Branch one: % 113.68/81.45 | (1372) xn = sz10 % 113.68/81.45 | % 113.68/81.45 | Equations (1372) can reduce 1364 to: % 113.68/81.45 | (174) $false % 113.68/81.45 | % 113.68/81.45 |-The branch is then unsatisfiable % 113.68/81.45 |-Branch two: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 113.68/81.45 | % 113.68/81.45 | Instantiating (1411) with all_577_0_789, all_577_1_790, all_577_2_791 yields: % 113.68/81.45 | (2778) ~ (all_577_0_789 = all_577_1_790) & ~ (all_577_2_791 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = all_577_2_791 & sdtpldt0(xn, all_0_4_4) = all_577_0_789 & sdtpldt0(sz10, all_0_4_4) = all_577_1_790 & sdtlseqdt0(all_577_1_790, all_577_0_789) & sdtlseqdt0(all_97_2_46, all_577_2_791) % 113.68/81.45 | % 113.68/81.45 | Applying alpha-rule on (2778) yields: % 113.68/81.45 | (2779) sdtpldt0(all_0_4_4, xn) = all_577_2_791 % 113.68/81.45 | (2780) sdtpldt0(xn, all_0_4_4) = all_577_0_789 % 113.68/81.45 | (2781) sdtlseqdt0(all_97_2_46, all_577_2_791) % 113.68/81.45 | (2782) ~ (all_577_0_789 = all_577_1_790) % 113.68/81.45 | (2783) ~ (all_577_2_791 = all_97_2_46) % 113.68/81.45 | (2784) sdtlseqdt0(all_577_1_790, all_577_0_789) % 113.68/81.45 | (2785) sdtpldt0(sz10, all_0_4_4) = all_577_1_790 % 113.68/81.45 | % 113.68/81.45 | From (2697) and (2785) follows: % 113.68/81.45 | (2786) sdtpldt0(sz10, xm) = all_577_1_790 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with xn, sz10, all_517_2_769, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_769, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 113.68/81.45 | (2787) all_517_2_769 = all_83_2_40 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with xn, sz10, all_495_0_759, all_517_2_769 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_769, sdtpldt0(xn, sz10) = all_495_0_759, yields: % 113.68/81.45 | (2788) all_517_2_769 = all_495_0_759 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_769 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_769, sdtpldt0(xn, sz10) = sz10, yields: % 113.68/81.45 | (2789) all_517_2_769 = sz10 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_549_0_779, all_102_2_49 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_779, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 113.68/81.45 | (2790) all_549_0_779 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_533_1_774, all_577_1_790 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_790, sdtpldt0(sz10, xm) = all_533_1_774, yields: % 113.68/81.45 | (2791) all_577_1_790 = all_533_1_774 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_533_1_774, all_549_0_779 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_779, sdtpldt0(sz10, xm) = all_533_1_774, yields: % 113.68/81.45 | (2792) all_549_0_779 = all_533_1_774 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_507_1_766, all_549_0_779 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_779, sdtpldt0(sz10, xm) = all_507_1_766, yields: % 113.68/81.45 | (2793) all_549_0_779 = all_507_1_766 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_490_1_757, all_577_1_790 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_790, sdtpldt0(sz10, xm) = all_490_1_757, yields: % 113.68/81.45 | (2794) all_577_1_790 = all_490_1_757 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_484_0_754, all_533_1_774 and discharging atoms sdtpldt0(sz10, xm) = all_533_1_774, sdtpldt0(sz10, xm) = all_484_0_754, yields: % 113.68/81.45 | (2795) all_533_1_774 = all_484_0_754 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (16) with sz10, xm, all_97_2_46, all_484_0_754 and discharging atoms sdtpldt0(sz10, xm) = all_484_0_754, sdtpldt0(sz10, xm) = all_97_2_46, yields: % 113.68/81.45 | (2796) all_484_0_754 = all_97_2_46 % 113.68/81.45 | % 113.68/81.45 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 113.68/81.45 | (1370) xm = xn % 113.68/81.45 | % 113.68/81.45 | Combining equations (2791,2794) yields a new equation: % 113.68/81.45 | (2798) all_533_1_774 = all_490_1_757 % 113.68/81.45 | % 113.68/81.45 | Simplifying 2798 yields: % 113.68/81.45 | (2799) all_533_1_774 = all_490_1_757 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2792,2793) yields a new equation: % 113.68/81.45 | (2800) all_533_1_774 = all_507_1_766 % 113.68/81.45 | % 113.68/81.45 | Simplifying 2800 yields: % 113.68/81.45 | (2801) all_533_1_774 = all_507_1_766 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2790,2793) yields a new equation: % 113.68/81.45 | (2802) all_507_1_766 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2801,2799) yields a new equation: % 113.68/81.45 | (2803) all_507_1_766 = all_490_1_757 % 113.68/81.45 | % 113.68/81.45 | Simplifying 2803 yields: % 113.68/81.45 | (2804) all_507_1_766 = all_490_1_757 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2795,2799) yields a new equation: % 113.68/81.45 | (2805) all_490_1_757 = all_484_0_754 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2789,2788) yields a new equation: % 113.68/81.45 | (2806) all_495_0_759 = sz10 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2787,2788) yields a new equation: % 113.68/81.45 | (2807) all_495_0_759 = all_83_2_40 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2804,2802) yields a new equation: % 113.68/81.45 | (2808) all_490_1_757 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Simplifying 2808 yields: % 113.68/81.45 | (2809) all_490_1_757 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2806,2807) yields a new equation: % 113.68/81.45 | (2392) all_83_2_40 = sz10 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2805,2809) yields a new equation: % 113.68/81.45 | (2811) all_484_0_754 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Simplifying 2811 yields: % 113.68/81.45 | (2812) all_484_0_754 = all_102_2_49 % 113.68/81.45 | % 113.68/81.45 | Combining equations (2796,2812) yields a new equation: % 113.68/81.45 | (2813) all_102_2_49 = all_97_2_46 % 113.68/81.45 | % 113.68/81.45 | Equations (2392) can reduce 1158 to: % 113.68/81.45 | (1428) ~ (xn = sz10) % 113.68/81.45 | % 113.68/81.45 | Simplifying 1428 yields: % 113.68/81.45 | (1364) ~ (xn = sz10) % 113.68/81.45 | % 113.68/81.45 | From (1370) and (2698) follows: % 113.68/81.45 | (2816) sdtpldt0(xn, sz10) = all_97_2_46 % 113.68/81.45 | % 113.68/81.45 | From (2392) and (337) follows: % 113.68/81.45 | (2640) sdtpldt0(xn, sz10) = sz10 % 113.68/81.45 | % 113.68/81.45 | From (2813) and (1198) follows: % 113.68/81.46 | (2818) aNaturalNumber0(all_97_2_46) % 113.68/81.46 | % 113.68/81.46 | From (1370) and (107) follows: % 113.68/81.46 | (113) aNaturalNumber0(xn) % 113.68/81.46 | % 113.68/81.46 | From (1370) and (1748) follows: % 113.68/81.46 | (2820) ~ sdtlseqdt0(xn, sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (520), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 113.68/81.46 | % 113.68/81.46 | Instantiating (1769) with all_593_0_794, all_593_1_795 yields: % 113.68/81.46 | (2827) ~ (all_593_0_794 = all_83_0_38) & ~ (all_593_1_795 = all_0_4_4) & sdtpldt0(xm, xn) = all_593_0_794 & sdtpldt0(xn, sz10) = all_593_1_795 % 113.68/81.46 | % 113.68/81.46 | Applying alpha-rule on (2827) yields: % 113.68/81.46 | (2828) ~ (all_593_0_794 = all_83_0_38) % 113.68/81.46 | (2829) ~ (all_593_1_795 = all_0_4_4) % 113.68/81.46 | (2830) sdtpldt0(xm, xn) = all_593_0_794 % 113.68/81.46 | (2831) sdtpldt0(xn, sz10) = all_593_1_795 % 113.68/81.46 | % 113.68/81.46 | Equations (1370) can reduce 1768 to: % 113.68/81.46 | (1364) ~ (xn = sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (519), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (2022) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(xn, sz10) = v1) % 113.68/81.46 | % 113.68/81.46 | Instantiating (2022) with all_605_0_796, all_605_1_797 yields: % 113.68/81.46 | (2839) ~ (all_605_0_796 = all_605_1_797) & sdtpldt0(xn, xm) = all_605_1_797 & sdtpldt0(xn, sz10) = all_605_0_796 % 113.68/81.46 | % 113.68/81.46 | Applying alpha-rule on (2839) yields: % 113.68/81.46 | (2840) ~ (all_605_0_796 = all_605_1_797) % 113.68/81.46 | (2841) sdtpldt0(xn, xm) = all_605_1_797 % 113.68/81.46 | (2842) sdtpldt0(xn, sz10) = all_605_0_796 % 113.68/81.46 | % 113.68/81.46 | Equations (1370) can reduce 1768 to: % 113.68/81.46 | (1364) ~ (xn = sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (497), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.46 | % 113.68/81.46 | Equations (1370) can reduce 1768 to: % 113.68/81.46 | (1364) ~ (xn = sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (2630), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (2856) ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 113.68/81.46 | % 113.68/81.46 | Equations (1370) can reduce 1768 to: % 113.68/81.46 | (1364) ~ (xn = sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (499), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.46 | % 113.68/81.46 | Equations (1370) can reduce 1768 to: % 113.68/81.46 | (1364) ~ (xn = sz10) % 113.68/81.46 | % 113.68/81.46 +-Applying beta-rule and splitting (518), into two cases. % 113.68/81.46 |-Branch one: % 113.68/81.46 | (1334) xm = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (1370,1334) yields a new equation: % 113.68/81.46 | (1371) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 1371 yields: % 113.68/81.46 | (1372) xn = sz10 % 113.68/81.46 | % 113.68/81.46 | Equations (1372) can reduce 1364 to: % 113.68/81.46 | (174) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.46 |-Branch two: % 113.68/81.46 | (1768) ~ (xm = sz10) % 113.68/81.46 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 113.68/81.46 | % 113.68/81.46 | Instantiating (2259) with all_628_0_803, all_628_1_804 yields: % 113.68/81.46 | (2871) ~ (all_628_0_803 = all_628_1_804) & sdtpldt0(xn, xm) = all_628_0_803 & sdtpldt0(xn, sz10) = all_628_1_804 % 113.68/81.46 | % 113.68/81.46 | Applying alpha-rule on (2871) yields: % 113.68/81.46 | (2872) ~ (all_628_0_803 = all_628_1_804) % 113.68/81.46 | (2873) sdtpldt0(xn, xm) = all_628_0_803 % 113.68/81.46 | (2874) sdtpldt0(xn, sz10) = all_628_1_804 % 113.68/81.46 | % 113.68/81.46 | Instantiating formula (16) with xn, sz10, all_628_1_804, sz10 and discharging atoms sdtpldt0(xn, sz10) = all_628_1_804, sdtpldt0(xn, sz10) = sz10, yields: % 113.68/81.46 | (2875) all_628_1_804 = sz10 % 113.68/81.46 | % 113.68/81.46 | Instantiating formula (16) with xn, sz10, all_605_0_796, all_628_1_804 and discharging atoms sdtpldt0(xn, sz10) = all_628_1_804, sdtpldt0(xn, sz10) = all_605_0_796, yields: % 113.68/81.46 | (2876) all_628_1_804 = all_605_0_796 % 113.68/81.46 | % 113.68/81.46 | Instantiating formula (16) with xn, sz10, all_593_1_795, all_605_0_796 and discharging atoms sdtpldt0(xn, sz10) = all_605_0_796, sdtpldt0(xn, sz10) = all_593_1_795, yields: % 113.68/81.46 | (2877) all_605_0_796 = all_593_1_795 % 113.68/81.46 | % 113.68/81.46 | Instantiating formula (16) with xn, sz10, all_97_2_46, all_593_1_795 and discharging atoms sdtpldt0(xn, sz10) = all_593_1_795, sdtpldt0(xn, sz10) = all_97_2_46, yields: % 113.68/81.46 | (2878) all_593_1_795 = all_97_2_46 % 113.68/81.46 | % 113.68/81.46 | Combining equations (2876,2875) yields a new equation: % 113.68/81.46 | (2879) all_605_0_796 = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 2879 yields: % 113.68/81.46 | (2880) all_605_0_796 = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (2877,2880) yields a new equation: % 113.68/81.46 | (2881) all_593_1_795 = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 2881 yields: % 113.68/81.46 | (2882) all_593_1_795 = sz10 % 113.68/81.46 | % 113.68/81.46 | Combining equations (2878,2882) yields a new equation: % 113.68/81.46 | (2883) all_97_2_46 = sz10 % 113.68/81.46 | % 113.68/81.46 | Simplifying 2883 yields: % 113.68/81.46 | (2884) all_97_2_46 = sz10 % 113.68/81.46 | % 113.68/81.46 | From (2884) and (2816) follows: % 113.68/81.46 | (2640) sdtpldt0(xn, sz10) = sz10 % 113.68/81.46 | % 113.68/81.46 | From (2884) and (2818) follows: % 113.68/81.46 | (52) aNaturalNumber0(sz10) % 113.68/81.46 | % 113.68/81.46 | Instantiating formula (22) with sz10, sz10, xn and discharging atoms sdtpldt0(xn, sz10) = sz10, aNaturalNumber0(xn), aNaturalNumber0(sz10), ~ sdtlseqdt0(xn, sz10), yields: % 113.68/81.46 | (1719) $false % 113.68/81.46 | % 113.68/81.46 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.47 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 113.68/81.47 | % 113.68/81.47 | Instantiating (2889) with all_513_0_809, all_513_1_810, all_513_2_811 yields: % 113.68/81.47 | (2890) ~ (all_513_0_809 = all_513_1_810) & ~ (all_513_2_811 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_809 & sdtpldt0(xm, xn) = all_513_1_810 & sdtpldt0(xn, all_0_4_4) = all_513_2_811 & sdtlseqdt0(all_513_1_810, all_513_0_809) & sdtlseqdt0(all_0_4_4, all_513_2_811) % 113.68/81.47 | % 113.68/81.47 | Applying alpha-rule on (2890) yields: % 113.68/81.47 | (2891) sdtpldt0(xn, all_0_4_4) = all_513_2_811 % 113.68/81.47 | (2892) ~ (all_513_2_811 = all_0_4_4) % 113.68/81.47 | (2893) sdtlseqdt0(all_513_1_810, all_513_0_809) % 113.68/81.47 | (2894) sdtlseqdt0(all_0_4_4, all_513_2_811) % 113.68/81.47 | (2895) sdtpldt0(all_0_4_4, xn) = all_513_0_809 % 113.68/81.47 | (2896) sdtpldt0(xm, xn) = all_513_1_810 % 113.68/81.47 | (2897) ~ (all_513_0_809 = all_513_1_810) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (551), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (1018), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1336) xm = sz00 % 113.68/81.47 | % 113.68/81.47 | Equations (1336) can reduce 1339 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1339) ~ (xm = sz00) % 113.68/81.47 | (1712) all_212_0_127 = xn % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (583), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (545), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 113.68/81.47 | % 113.68/81.47 | Instantiating (1587) with all_535_0_818, all_535_1_819, all_535_2_820 yields: % 113.68/81.47 | (2914) ~ (all_535_0_818 = all_535_1_819) & ~ (all_535_2_820 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_820 & sdtpldt0(xn, xm) = all_535_0_818 & sdtpldt0(sz10, xm) = all_535_1_819 & sdtlseqdt0(all_535_1_819, all_535_0_818) & sdtlseqdt0(all_102_2_49, all_535_2_820) % 113.68/81.47 | % 113.68/81.47 | Applying alpha-rule on (2914) yields: % 113.68/81.47 | (2915) sdtpldt0(xm, xn) = all_535_2_820 % 113.68/81.47 | (2916) sdtpldt0(xn, xm) = all_535_0_818 % 113.68/81.47 | (2917) ~ (all_535_2_820 = all_102_2_49) % 113.68/81.47 | (2918) ~ (all_535_0_818 = all_535_1_819) % 113.68/81.47 | (2919) sdtpldt0(sz10, xm) = all_535_1_819 % 113.68/81.47 | (2920) sdtlseqdt0(all_535_1_819, all_535_0_818) % 113.68/81.47 | (2921) sdtlseqdt0(all_102_2_49, all_535_2_820) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (533), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (2697) all_0_4_4 = xm % 113.68/81.47 | % 113.68/81.47 | Equations (2697) can reduce 2888 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.47 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (516), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (2697) all_0_4_4 = xm % 113.68/81.47 | % 113.68/81.47 | Equations (2697) can reduce 2888 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.47 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (547), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (511), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 113.68/81.47 | % 113.68/81.47 | Instantiating (1576) with all_559_0_829, all_559_1_830 yields: % 113.68/81.47 | (2938) ~ (all_559_0_829 = all_559_1_830) & sdtpldt0(xm, xn) = all_559_1_830 & sdtpldt0(xm, sz10) = all_559_0_829 % 113.68/81.47 | % 113.68/81.47 | Applying alpha-rule on (2938) yields: % 113.68/81.47 | (2939) ~ (all_559_0_829 = all_559_1_830) % 113.68/81.47 | (2940) sdtpldt0(xm, xn) = all_559_1_830 % 113.68/81.47 | (2941) sdtpldt0(xm, sz10) = all_559_0_829 % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (491), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (2697) all_0_4_4 = xm % 113.68/81.47 | % 113.68/81.47 | Equations (2697) can reduce 2888 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.47 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (535), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (2697) all_0_4_4 = xm % 113.68/81.47 | % 113.68/81.47 | Equations (2697) can reduce 2888 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.47 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (548), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.47 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 113.68/81.47 | % 113.68/81.47 +-Applying beta-rule and splitting (544), into two cases. % 113.68/81.47 |-Branch one: % 113.68/81.47 | (1372) xn = sz10 % 113.68/81.47 | % 113.68/81.47 | Equations (1372) can reduce 1364 to: % 113.68/81.47 | (174) $false % 113.68/81.47 | % 113.68/81.47 |-The branch is then unsatisfiable % 113.68/81.47 |-Branch two: % 113.68/81.47 | (1364) ~ (xn = sz10) % 113.68/81.48 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (536), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (509), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (1372) xn = sz10 % 113.68/81.48 | % 113.68/81.48 | Equations (1372) can reduce 1364 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (1364) ~ (xn = sz10) % 113.68/81.48 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (1017), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (1739) all_0_0_0 = sz00 % 113.68/81.48 | % 113.68/81.48 | Combining equations (1287,1739) yields a new equation: % 113.68/81.48 | (2967) xm = sz00 % 113.68/81.48 | % 113.68/81.48 | Simplifying 2967 yields: % 113.68/81.48 | (1336) xm = sz00 % 113.68/81.48 | % 113.68/81.48 | Equations (1336) can reduce 1339 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (1742) ~ (all_0_0_0 = sz00) % 113.68/81.48 | (2971) all_214_0_128 = xp % 113.68/81.48 | % 113.68/81.48 | Combining equations (1361,2971) yields a new equation: % 113.68/81.48 | (1477) all_214_0_128 = xn % 113.68/81.48 | % 113.68/81.48 | From (1477) and (725) follows: % 113.68/81.48 | (113) aNaturalNumber0(xn) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (515), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (507), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (538), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (510), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (1372) xn = sz10 % 113.68/81.48 | % 113.68/81.48 | Equations (1372) can reduce 1364 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (1364) ~ (xn = sz10) % 113.68/81.48 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 113.68/81.48 | % 113.68/81.48 | Instantiating (1490) with all_623_0_854, all_623_1_855 yields: % 113.68/81.48 | (2990) ~ (all_623_0_854 = all_623_1_855) & sdtpldt0(xm, xn) = all_623_0_854 & sdtpldt0(xm, sz10) = all_623_1_855 % 113.68/81.48 | % 113.68/81.48 | Applying alpha-rule on (2990) yields: % 113.68/81.48 | (2991) ~ (all_623_0_854 = all_623_1_855) % 113.68/81.48 | (2992) sdtpldt0(xm, xn) = all_623_0_854 % 113.68/81.48 | (2993) sdtpldt0(xm, sz10) = all_623_1_855 % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (543), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (1372) xn = sz10 % 113.68/81.48 | % 113.68/81.48 | Equations (1372) can reduce 1364 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (1364) ~ (xn = sz10) % 113.68/81.48 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 113.68/81.48 | % 113.68/81.48 | Instantiating (1421) with all_633_0_856, all_633_1_857, all_633_2_858 yields: % 113.68/81.48 | (2998) ~ (all_633_0_856 = all_0_4_4) & ~ (all_633_1_857 = all_633_2_858) & sdtpldt0(xm, xn) = all_633_1_857 & sdtpldt0(xm, sz10) = all_633_2_858 & sdtpldt0(sz10, xm) = all_633_0_856 & sdtlseqdt0(all_633_0_856, all_0_4_4) & sdtlseqdt0(all_633_2_858, all_633_1_857) % 113.68/81.48 | % 113.68/81.48 | Applying alpha-rule on (2998) yields: % 113.68/81.48 | (2999) sdtlseqdt0(all_633_0_856, all_0_4_4) % 113.68/81.48 | (3000) sdtpldt0(sz10, xm) = all_633_0_856 % 113.68/81.48 | (3001) sdtpldt0(xm, xn) = all_633_1_857 % 113.68/81.48 | (3002) ~ (all_633_1_857 = all_633_2_858) % 113.68/81.48 | (3003) sdtlseqdt0(all_633_2_858, all_633_1_857) % 113.68/81.48 | (3004) ~ (all_633_0_856 = all_0_4_4) % 113.68/81.48 | (3005) sdtpldt0(xm, sz10) = all_633_2_858 % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (512), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 113.68/81.48 | % 113.68/81.48 +-Applying beta-rule and splitting (537), into two cases. % 113.68/81.48 |-Branch one: % 113.68/81.48 | (2697) all_0_4_4 = xm % 113.68/81.48 | % 113.68/81.48 | Equations (2697) can reduce 2888 to: % 113.68/81.48 | (174) $false % 113.68/81.48 | % 113.68/81.48 |-The branch is then unsatisfiable % 113.68/81.48 |-Branch two: % 113.68/81.48 | (2888) ~ (all_0_4_4 = xm) % 113.68/81.48 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_623_0_854, all_633_1_857 and discharging atoms sdtpldt0(xm, xn) = all_633_1_857, sdtpldt0(xm, xn) = all_623_0_854, yields: % 113.68/81.48 | (3014) all_633_1_857 = all_623_0_854 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_559_1_830, all_623_0_854 and discharging atoms sdtpldt0(xm, xn) = all_623_0_854, sdtpldt0(xm, xn) = all_559_1_830, yields: % 113.68/81.48 | (3015) all_623_0_854 = all_559_1_830 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_535_2_820, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_535_2_820, sdtpldt0(xm, xn) = all_0_4_4, yields: % 113.68/81.48 | (3016) all_535_2_820 = all_0_4_4 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_535_2_820, all_559_1_830 and discharging atoms sdtpldt0(xm, xn) = all_559_1_830, sdtpldt0(xm, xn) = all_535_2_820, yields: % 113.68/81.48 | (3017) all_559_1_830 = all_535_2_820 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_513_1_810, all_535_2_820 and discharging atoms sdtpldt0(xm, xn) = all_535_2_820, sdtpldt0(xm, xn) = all_513_1_810, yields: % 113.68/81.48 | (3018) all_535_2_820 = all_513_1_810 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_501_1_763, all_535_2_820 and discharging atoms sdtpldt0(xm, xn) = all_535_2_820, sdtpldt0(xm, xn) = all_501_1_763, yields: % 113.68/81.48 | (3019) all_535_2_820 = all_501_1_763 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, all_484_1_755, all_633_1_857 and discharging atoms sdtpldt0(xm, xn) = all_633_1_857, sdtpldt0(xm, xn) = all_484_1_755, yields: % 113.68/81.48 | (3020) all_633_1_857 = all_484_1_755 % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (16) with xm, xn, xm, all_513_1_810 and discharging atoms sdtpldt0(xm, xn) = all_513_1_810, sdtpldt0(xm, xn) = xm, yields: % 113.68/81.48 | (3021) all_513_1_810 = xm % 113.68/81.48 | % 113.68/81.48 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 113.68/81.48 | (1370) xm = xn % 113.68/81.48 | % 113.68/81.48 | Combining equations (3014,3020) yields a new equation: % 113.68/81.48 | (3023) all_623_0_854 = all_484_1_755 % 113.68/81.48 | % 113.68/81.48 | Simplifying 3023 yields: % 113.68/81.48 | (3024) all_623_0_854 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3015,3024) yields a new equation: % 113.68/81.49 | (3025) all_559_1_830 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Simplifying 3025 yields: % 113.68/81.49 | (3026) all_559_1_830 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3017,3026) yields a new equation: % 113.68/81.49 | (3027) all_535_2_820 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Simplifying 3027 yields: % 113.68/81.49 | (3028) all_535_2_820 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3018,3019) yields a new equation: % 113.68/81.49 | (3029) all_513_1_810 = all_501_1_763 % 113.68/81.49 | % 113.68/81.49 | Simplifying 3029 yields: % 113.68/81.49 | (3030) all_513_1_810 = all_501_1_763 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3016,3019) yields a new equation: % 113.68/81.49 | (3031) all_501_1_763 = all_0_4_4 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3028,3019) yields a new equation: % 113.68/81.49 | (3032) all_501_1_763 = all_484_1_755 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3030,3021) yields a new equation: % 113.68/81.49 | (3033) all_501_1_763 = xm % 113.68/81.49 | % 113.68/81.49 | Simplifying 3033 yields: % 113.68/81.49 | (3034) all_501_1_763 = xm % 113.68/81.49 | % 113.68/81.49 | Combining equations (3034,3032) yields a new equation: % 113.68/81.49 | (3035) all_484_1_755 = xm % 113.68/81.49 | % 113.68/81.49 | Combining equations (3031,3032) yields a new equation: % 113.68/81.49 | (3036) all_484_1_755 = all_0_4_4 % 113.68/81.49 | % 113.68/81.49 | Combining equations (3036,3035) yields a new equation: % 113.68/81.49 | (3037) all_0_4_4 = xm % 113.68/81.49 | % 113.68/81.49 | Simplifying 3037 yields: % 113.68/81.49 | (2697) all_0_4_4 = xm % 113.68/81.49 | % 113.68/81.49 | Combining equations (1370,2697) yields a new equation: % 113.68/81.49 | (3039) all_0_4_4 = xn % 113.68/81.49 | % 113.68/81.49 | Equations (3039,1370) can reduce 2888 to: % 113.68/81.49 | (174) $false % 113.68/81.49 | % 113.68/81.49 |-The branch is then unsatisfiable % 113.68/81.49 |-Branch two: % 113.68/81.49 | (3041) ~ sdtlseqdt0(all_0_0_0, xr) % 113.68/81.49 | (3042) sdtlseqdt0(xr, all_0_0_0) % 113.68/81.49 | % 113.68/81.49 | From (1287)(310) and (3041) follows: % 113.68/81.49 | (3043) ~ sdtlseqdt0(xm, xn) % 113.68/81.49 | % 113.68/81.49 +-Applying beta-rule and splitting (147), into two cases. % 113.68/81.49 |-Branch one: % 113.68/81.49 | (1379) xn = sz00 % 113.68/81.49 | % 113.68/81.49 | From (1379) and (3043) follows: % 113.68/81.49 | (3045) ~ sdtlseqdt0(xm, sz00) % 113.68/81.49 | % 113.68/81.49 | Using (1326) and (3045) yields: % 113.68/81.49 | (1719) $false % 113.68/81.49 | % 113.68/81.49 |-The branch is then unsatisfiable % 113.68/81.49 |-Branch two: % 113.68/81.49 | (1365) ~ (xn = sz00) % 113.68/81.49 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 113.68/81.49 | % 113.68/81.49 +-Applying beta-rule and splitting (1021), into two cases. % 113.68/81.49 |-Branch one: % 113.68/81.49 | (1379) xn = sz00 % 113.68/81.49 | % 113.68/81.49 | Equations (1379) can reduce 1365 to: % 113.68/81.49 | (174) $false % 113.68/81.49 | % 113.68/81.49 |-The branch is then unsatisfiable % 113.68/81.49 |-Branch two: % 113.68/81.49 | (1365) ~ (xn = sz00) % 113.68/81.49 | (1415) all_146_0_54 = xm % 113.68/81.49 | % 113.68/81.49 +-Applying beta-rule and splitting (127), into two cases. % 113.68/81.49 |-Branch one: % 113.68/81.49 | (1377) xr = sz00 % 113.68/81.49 | % 113.68/81.49 | Combining equations (1377,310) yields a new equation: % 113.68/81.49 | (1379) xn = sz00 % 113.68/81.49 | % 113.68/81.49 | Equations (1379) can reduce 1365 to: % 113.68/81.49 | (174) $false % 113.68/81.49 | % 113.68/81.49 |-The branch is then unsatisfiable % 113.68/81.49 |-Branch two: % 113.68/81.49 | (1381) ~ (xr = sz00) % 113.68/81.49 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 113.68/81.49 | % 113.68/81.49 | Equations (310) can reduce 1381 to: % 113.68/81.49 | (1365) ~ (xn = sz00) % 113.68/81.49 | % 113.68/81.49 +-Applying beta-rule and splitting (137), into two cases. % 113.68/81.49 |-Branch one: % 113.68/81.49 | (1336) xm = sz00 % 113.68/81.49 | % 113.68/81.49 | From (1336) and (1172) follows: % 113.68/81.49 | (1762) sdtpldt0(all_102_2_49, all_52_0_18) = sz00 % 113.68/81.49 | % 113.68/81.49 | From (1336) and (494) follows: % 113.68/81.49 | (1764) sdtpldt0(sz10, sz00) = all_102_2_49 % 113.68/81.49 | % 113.68/81.49 +-Applying beta-rule and splitting (521), into two cases. % 113.68/81.49 |-Branch one: % 113.68/81.49 | (1370) xm = xn % 113.68/81.49 | % 113.68/81.49 | Combining equations (1370,1336) yields a new equation: % 113.68/81.49 | (1378) xn = sz00 % 113.68/81.49 | % 113.68/81.49 | Simplifying 1378 yields: % 113.68/81.49 | (1379) xn = sz00 % 113.68/81.49 | % 113.68/81.49 | Equations (1379) can reduce 1365 to: % 113.68/81.49 | (174) $false % 113.68/81.49 | % 113.68/81.49 |-The branch is then unsatisfiable % 113.68/81.49 |-Branch two: % 113.68/81.49 | (1426) ~ (xm = xn) % 113.68/81.49 | (1581) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.49 | % 113.68/81.49 | Instantiating (1581) with all_476_0_866, all_476_1_867 yields: % 113.68/81.49 | (3068) ~ (all_476_0_866 = all_102_2_49) & ~ (all_476_1_867 = all_83_0_38) & sdtpldt0(xn, sz10) = all_476_0_866 & sdtpldt0(sz10, xm) = all_476_1_867 % 113.68/81.49 | % 113.68/81.49 | Applying alpha-rule on (3068) yields: % 113.68/81.49 | (3069) ~ (all_476_0_866 = all_102_2_49) % 113.68/81.49 | (3070) ~ (all_476_1_867 = all_83_0_38) % 113.68/81.49 | (3071) sdtpldt0(xn, sz10) = all_476_0_866 % 113.68/81.50 | (3072) sdtpldt0(sz10, xm) = all_476_1_867 % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1426 to: % 113.68/81.50 | (2520) ~ (xn = sz00) % 113.68/81.50 | % 113.68/81.50 | Simplifying 2520 yields: % 113.68/81.50 | (1365) ~ (xn = sz00) % 113.68/81.50 | % 113.68/81.50 | From (1336) and (3072) follows: % 113.68/81.50 | (3075) sdtpldt0(sz10, sz00) = all_476_1_867 % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (481), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1368) xp = xm % 113.68/81.50 | % 113.68/81.50 | Combining equations (1336,1368) yields a new equation: % 113.68/81.50 | (173) xp = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (173) can reduce 37 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1374) ~ (xp = xm) % 113.68/81.50 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1374 to: % 113.68/81.50 | (37) ~ (xp = sz00) % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (499), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1334) xm = sz10 % 113.68/81.50 | % 113.68/81.50 | Combining equations (1334,1336) yields a new equation: % 113.68/81.50 | (1793) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Simplifying 1793 yields: % 113.68/81.50 | (1337) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (1337) can reduce 88 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1768) ~ (xm = sz10) % 113.68/81.50 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1768 to: % 113.68/81.50 | (1775) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 | Simplifying 1775 yields: % 113.68/81.50 | (88) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (557), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1434) all_54_0_19 = xm % 113.68/81.50 | % 113.68/81.50 | Combining equations (1200,1434) yields a new equation: % 113.68/81.50 | (1838) xp = xm % 113.68/81.50 | % 113.68/81.50 | Simplifying 1838 yields: % 113.68/81.50 | (1368) xp = xm % 113.68/81.50 | % 113.68/81.50 | Combining equations (1336,1368) yields a new equation: % 113.68/81.50 | (173) xp = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (173) can reduce 37 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1438) ~ (all_54_0_19 = xm) % 113.68/81.50 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 113.68/81.50 | % 113.68/81.50 | Instantiating (1485) with all_494_0_872, all_494_1_873 yields: % 113.68/81.50 | (3097) ~ (all_494_0_872 = all_102_2_49) & ~ (all_494_1_873 = sz10) & sdtpldt0(all_54_0_19, sz10) = all_494_0_872 & sdtpldt0(sz10, xm) = all_494_1_873 % 113.68/81.50 | % 113.68/81.50 | Applying alpha-rule on (3097) yields: % 113.68/81.50 | (3098) ~ (all_494_0_872 = all_102_2_49) % 113.68/81.50 | (3099) ~ (all_494_1_873 = sz10) % 113.68/81.50 | (3100) sdtpldt0(all_54_0_19, sz10) = all_494_0_872 % 113.68/81.50 | (3101) sdtpldt0(sz10, xm) = all_494_1_873 % 113.68/81.50 | % 113.68/81.50 | From (1336) and (3101) follows: % 113.68/81.50 | (3102) sdtpldt0(sz10, sz00) = all_494_1_873 % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (497), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1334) xm = sz10 % 113.68/81.50 | % 113.68/81.50 | Combining equations (1334,1336) yields a new equation: % 113.68/81.50 | (1793) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Simplifying 1793 yields: % 113.68/81.50 | (1337) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (1337) can reduce 88 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1768) ~ (xm = sz10) % 113.68/81.50 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1768 to: % 113.68/81.50 | (1775) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 | Simplifying 1775 yields: % 113.68/81.50 | (88) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (500), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1370) xm = xn % 113.68/81.50 | % 113.68/81.50 | Combining equations (1370,1336) yields a new equation: % 113.68/81.50 | (1378) xn = sz00 % 113.68/81.50 | % 113.68/81.50 | Simplifying 1378 yields: % 113.68/81.50 | (1379) xn = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (1379) can reduce 1365 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1426) ~ (xm = xn) % 113.68/81.50 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 113.68/81.50 | % 113.68/81.50 | Instantiating (1427) with all_506_0_876, all_506_1_877 yields: % 113.68/81.50 | (3117) ~ (all_506_0_876 = all_506_1_877) & sdtpldt0(sz10, xm) = all_506_0_876 & sdtpldt0(sz10, xn) = all_506_1_877 % 113.68/81.50 | % 113.68/81.50 | Applying alpha-rule on (3117) yields: % 113.68/81.50 | (3118) ~ (all_506_0_876 = all_506_1_877) % 113.68/81.50 | (3119) sdtpldt0(sz10, xm) = all_506_0_876 % 113.68/81.50 | (3120) sdtpldt0(sz10, xn) = all_506_1_877 % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1426 to: % 113.68/81.50 | (2520) ~ (xn = sz00) % 113.68/81.50 | % 113.68/81.50 | Simplifying 2520 yields: % 113.68/81.50 | (1365) ~ (xn = sz00) % 113.68/81.50 | % 113.68/81.50 | From (1336) and (3119) follows: % 113.68/81.50 | (3123) sdtpldt0(sz10, sz00) = all_506_0_876 % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (520), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1334) xm = sz10 % 113.68/81.50 | % 113.68/81.50 | Combining equations (1334,1336) yields a new equation: % 113.68/81.50 | (1793) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Simplifying 1793 yields: % 113.68/81.50 | (1337) sz10 = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (1337) can reduce 88 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1768) ~ (xm = sz10) % 113.68/81.50 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 113.68/81.50 | % 113.68/81.50 | Equations (1336) can reduce 1768 to: % 113.68/81.50 | (1775) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 | Simplifying 1775 yields: % 113.68/81.50 | (88) ~ (sz10 = sz00) % 113.68/81.50 | % 113.68/81.50 +-Applying beta-rule and splitting (514), into two cases. % 113.68/81.50 |-Branch one: % 113.68/81.50 | (1370) xm = xn % 113.68/81.50 | % 113.68/81.50 | Combining equations (1370,1336) yields a new equation: % 113.68/81.50 | (1378) xn = sz00 % 113.68/81.50 | % 113.68/81.50 | Simplifying 1378 yields: % 113.68/81.50 | (1379) xn = sz00 % 113.68/81.50 | % 113.68/81.50 | Equations (1379) can reduce 1365 to: % 113.68/81.50 | (174) $false % 113.68/81.50 | % 113.68/81.50 |-The branch is then unsatisfiable % 113.68/81.50 |-Branch two: % 113.68/81.50 | (1426) ~ (xm = xn) % 113.68/81.50 | (1462) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 114.05/81.50 | % 114.05/81.50 | Equations (1336) can reduce 1426 to: % 114.05/81.50 | (2520) ~ (xn = sz00) % 114.05/81.50 | % 114.05/81.50 | Simplifying 2520 yields: % 114.05/81.50 | (1365) ~ (xn = sz00) % 114.05/81.50 | % 114.05/81.50 +-Applying beta-rule and splitting (498), into two cases. % 114.05/81.50 |-Branch one: % 114.05/81.50 | (1334) xm = sz10 % 114.05/81.50 | % 114.05/81.50 | Combining equations (1334,1336) yields a new equation: % 114.05/81.50 | (1793) sz10 = sz00 % 114.05/81.50 | % 114.05/81.50 | Simplifying 1793 yields: % 114.05/81.50 | (1337) sz10 = sz00 % 114.05/81.50 | % 114.05/81.50 | Equations (1337) can reduce 88 to: % 114.05/81.50 | (174) $false % 114.05/81.50 | % 114.05/81.50 |-The branch is then unsatisfiable % 114.05/81.50 |-Branch two: % 114.05/81.50 | (1768) ~ (xm = sz10) % 114.05/81.50 | (2196) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 114.05/81.50 | % 114.05/81.50 | Equations (1336) can reduce 1768 to: % 114.05/81.50 | (1775) ~ (sz10 = sz00) % 114.05/81.50 | % 114.05/81.50 | Simplifying 1775 yields: % 114.05/81.50 | (88) ~ (sz10 = sz00) % 114.05/81.50 | % 114.05/81.50 +-Applying beta-rule and splitting (518), into two cases. % 114.05/81.50 |-Branch one: % 114.05/81.50 | (1334) xm = sz10 % 114.05/81.50 | % 114.05/81.51 | Combining equations (1334,1336) yields a new equation: % 114.05/81.51 | (1793) sz10 = sz00 % 114.05/81.51 | % 114.05/81.51 | Simplifying 1793 yields: % 114.05/81.51 | (1337) sz10 = sz00 % 114.05/81.51 | % 114.05/81.51 | Equations (1337) can reduce 88 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1768) ~ (xm = sz10) % 114.05/81.51 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 114.05/81.51 | % 114.05/81.51 | Equations (1336) can reduce 1768 to: % 114.05/81.51 | (1775) ~ (sz10 = sz00) % 114.05/81.51 | % 114.05/81.51 | Simplifying 1775 yields: % 114.05/81.51 | (88) ~ (sz10 = sz00) % 114.05/81.51 | % 114.05/81.51 +-Applying beta-rule and splitting (501), into two cases. % 114.05/81.51 |-Branch one: % 114.05/81.51 | (1370) xm = xn % 114.05/81.51 | % 114.05/81.51 | Combining equations (1370,1336) yields a new equation: % 114.05/81.51 | (1378) xn = sz00 % 114.05/81.51 | % 114.05/81.51 | Simplifying 1378 yields: % 114.05/81.51 | (1379) xn = sz00 % 114.05/81.51 | % 114.05/81.51 | Equations (1379) can reduce 1365 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1426) ~ (xm = xn) % 114.05/81.51 | (1446) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 114.05/81.51 | % 114.05/81.51 | Instantiating (1446) with all_572_0_898, all_572_1_899 yields: % 114.05/81.51 | (3162) ~ (all_572_0_898 = all_572_1_899) & sdtpldt0(sz10, xm) = all_572_1_899 & sdtpldt0(sz10, xn) = all_572_0_898 % 114.05/81.51 | % 114.05/81.51 | Applying alpha-rule on (3162) yields: % 114.05/81.51 | (3163) ~ (all_572_0_898 = all_572_1_899) % 114.05/81.51 | (3164) sdtpldt0(sz10, xm) = all_572_1_899 % 114.05/81.51 | (3165) sdtpldt0(sz10, xn) = all_572_0_898 % 114.05/81.51 | % 114.05/81.51 | From (1336) and (3164) follows: % 114.05/81.51 | (3166) sdtpldt0(sz10, sz00) = all_572_1_899 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (87) with all_52_0_18, all_102_2_49 and discharging atoms sdtpldt0(all_102_2_49, all_52_0_18) = sz00, aNaturalNumber0(all_102_2_49), aNaturalNumber0(all_52_0_18), yields: % 114.05/81.51 | (2293) all_102_2_49 = sz00 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (16) with sz10, sz00, all_506_0_876, all_572_1_899 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_899, sdtpldt0(sz10, sz00) = all_506_0_876, yields: % 114.05/81.51 | (3168) all_572_1_899 = all_506_0_876 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (16) with sz10, sz00, all_494_1_873, all_506_0_876 and discharging atoms sdtpldt0(sz10, sz00) = all_506_0_876, sdtpldt0(sz10, sz00) = all_494_1_873, yields: % 114.05/81.51 | (3169) all_506_0_876 = all_494_1_873 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (26) with all_494_1_873, sz10 and discharging atoms sdtpldt0(sz10, sz00) = all_494_1_873, aNaturalNumber0(sz10), yields: % 114.05/81.51 | (3170) all_494_1_873 = sz10 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (16) with sz10, sz00, all_476_1_867, all_572_1_899 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_899, sdtpldt0(sz10, sz00) = all_476_1_867, yields: % 114.05/81.51 | (3171) all_572_1_899 = all_476_1_867 % 114.05/81.51 | % 114.05/81.51 | Instantiating formula (16) with sz10, sz00, all_102_2_49, all_494_1_873 and discharging atoms sdtpldt0(sz10, sz00) = all_494_1_873, sdtpldt0(sz10, sz00) = all_102_2_49, yields: % 114.05/81.51 | (3172) all_494_1_873 = all_102_2_49 % 114.05/81.51 | % 114.05/81.51 | Combining equations (3168,3171) yields a new equation: % 114.05/81.51 | (3173) all_506_0_876 = all_476_1_867 % 114.05/81.51 | % 114.05/81.51 | Simplifying 3173 yields: % 114.05/81.51 | (3174) all_506_0_876 = all_476_1_867 % 114.05/81.51 | % 114.05/81.51 | Combining equations (3169,3174) yields a new equation: % 114.05/81.51 | (3175) all_494_1_873 = all_476_1_867 % 114.05/81.51 | % 114.05/81.51 | Simplifying 3175 yields: % 114.05/81.51 | (3176) all_494_1_873 = all_476_1_867 % 114.05/81.51 | % 114.05/81.51 | Combining equations (3172,3176) yields a new equation: % 114.05/81.51 | (3177) all_476_1_867 = all_102_2_49 % 114.05/81.51 | % 114.05/81.51 | Combining equations (3170,3176) yields a new equation: % 114.05/81.51 | (3178) all_476_1_867 = sz10 % 114.05/81.51 | % 114.05/81.51 | Combining equations (3177,3178) yields a new equation: % 114.05/81.51 | (3179) all_102_2_49 = sz10 % 114.05/81.51 | % 114.05/81.51 | Simplifying 3179 yields: % 114.05/81.51 | (2388) all_102_2_49 = sz10 % 114.05/81.51 | % 114.05/81.51 | Combining equations (2293,2388) yields a new equation: % 114.05/81.51 | (1337) sz10 = sz00 % 114.05/81.51 | % 114.05/81.51 | Equations (1337) can reduce 88 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1339) ~ (xm = sz00) % 114.05/81.51 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.05/81.51 | % 114.05/81.51 +-Applying beta-rule and splitting (194), into two cases. % 114.05/81.51 |-Branch one: % 114.05/81.51 | (1336) xm = sz00 % 114.05/81.51 | % 114.05/81.51 | Equations (1336) can reduce 1339 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1339) ~ (xm = sz00) % 114.05/81.51 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.05/81.51 | % 114.05/81.51 +-Applying beta-rule and splitting (1302), into two cases. % 114.05/81.51 |-Branch one: % 114.05/81.51 | (1336) xm = sz00 % 114.05/81.51 | % 114.05/81.51 | Equations (1336) can reduce 1339 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1339) ~ (xm = sz00) % 114.05/81.51 | (1361) xp = xn % 114.05/81.51 | % 114.05/81.51 | Equations (1361) can reduce 18 to: % 114.05/81.51 | (1364) ~ (xn = sz10) % 114.05/81.51 | % 114.05/81.51 | From (1361) and (584) follows: % 114.05/81.51 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 114.05/81.51 | % 114.05/81.51 | From (1361) and (1213) follows: % 114.05/81.51 | (2640) sdtpldt0(xn, sz10) = sz10 % 114.05/81.51 | % 114.05/81.51 | From (1361) and (451) follows: % 114.05/81.51 | (2641) sdtpldt0(xm, xn) = xm % 114.05/81.51 | % 114.05/81.51 | From (1361) and (265) follows: % 114.05/81.51 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 114.05/81.51 | % 114.05/81.51 | From (1361) and (1330) follows: % 114.05/81.51 | (1329) sdtlseqdt0(xn, sz00) % 114.05/81.51 | % 114.05/81.51 +-Applying beta-rule and splitting (490), into two cases. % 114.05/81.51 |-Branch one: % 114.05/81.51 | (1372) xn = sz10 % 114.05/81.51 | % 114.05/81.51 | Equations (1372) can reduce 1364 to: % 114.05/81.51 | (174) $false % 114.05/81.51 | % 114.05/81.51 |-The branch is then unsatisfiable % 114.05/81.51 |-Branch two: % 114.05/81.51 | (1364) ~ (xn = sz10) % 114.05/81.51 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.05/81.51 | % 114.05/81.51 | Instantiating (1529) with all_484_0_900, all_484_1_901 yields: % 114.05/81.51 | (3203) ~ (all_484_0_900 = all_0_4_4) & ~ (all_484_1_901 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_901 & sdtpldt0(sz10, xm) = all_484_0_900 % 114.05/81.51 | % 114.05/81.51 | Applying alpha-rule on (3203) yields: % 114.05/81.51 | (3204) ~ (all_484_0_900 = all_0_4_4) % 114.05/81.51 | (3205) ~ (all_484_1_901 = all_102_2_49) % 114.05/81.51 | (3206) sdtpldt0(xm, xn) = all_484_1_901 % 114.05/81.52 | (3207) sdtpldt0(sz10, xm) = all_484_0_900 % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (542), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1372) xn = sz10 % 114.05/81.52 | % 114.05/81.52 | Equations (1372) can reduce 1364 to: % 114.05/81.52 | (174) $false % 114.05/81.52 | % 114.05/81.52 |-The branch is then unsatisfiable % 114.05/81.52 |-Branch two: % 114.05/81.52 | (1364) ~ (xn = sz10) % 114.05/81.52 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.05/81.52 | % 114.05/81.52 | Instantiating (1452) with all_490_0_902, all_490_1_903, all_490_2_904 yields: % 114.05/81.52 | (3212) ~ (all_490_0_902 = all_490_1_903) & ~ (all_490_2_904 = all_0_4_4) & sdtpldt0(xm, sz10) = all_490_2_904 & sdtpldt0(xn, xm) = all_490_0_902 & sdtpldt0(sz10, xm) = all_490_1_903 & sdtlseqdt0(all_490_1_903, all_490_0_902) & sdtlseqdt0(all_490_2_904, all_0_4_4) % 114.05/81.52 | % 114.05/81.52 | Applying alpha-rule on (3212) yields: % 114.05/81.52 | (3213) ~ (all_490_0_902 = all_490_1_903) % 114.05/81.52 | (3214) sdtpldt0(sz10, xm) = all_490_1_903 % 114.05/81.52 | (3215) sdtpldt0(xn, xm) = all_490_0_902 % 114.05/81.52 | (3216) ~ (all_490_2_904 = all_0_4_4) % 114.05/81.52 | (3217) sdtpldt0(xm, sz10) = all_490_2_904 % 114.05/81.52 | (3218) sdtlseqdt0(all_490_1_903, all_490_0_902) % 114.05/81.52 | (3219) sdtlseqdt0(all_490_2_904, all_0_4_4) % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (550), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1372) xn = sz10 % 114.05/81.52 | % 114.05/81.52 | Equations (1372) can reduce 1364 to: % 114.05/81.52 | (174) $false % 114.05/81.52 | % 114.05/81.52 |-The branch is then unsatisfiable % 114.05/81.52 |-Branch two: % 114.05/81.52 | (1364) ~ (xn = sz10) % 114.05/81.52 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 114.05/81.52 | % 114.05/81.52 | Instantiating (1537) with all_495_0_905, all_495_1_906, all_495_2_907 yields: % 114.05/81.52 | (3224) ~ (all_495_0_905 = all_495_1_906) & ~ (all_495_2_907 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_905 & sdtpldt0(sz10, sz10) = all_495_1_906 & sdtpldt0(sz10, sz10) = all_495_2_907 & sdtlseqdt0(all_495_1_906, all_495_0_905) & sdtlseqdt0(all_495_2_907, all_83_0_38) % 114.05/81.52 | % 114.05/81.52 | Applying alpha-rule on (3224) yields: % 114.05/81.52 | (3225) sdtlseqdt0(all_495_1_906, all_495_0_905) % 114.05/81.52 | (3226) ~ (all_495_2_907 = all_83_0_38) % 114.05/81.52 | (3227) sdtpldt0(xn, sz10) = all_495_0_905 % 114.05/81.52 | (3228) ~ (all_495_0_905 = all_495_1_906) % 114.05/81.52 | (3229) sdtlseqdt0(all_495_2_907, all_83_0_38) % 114.05/81.52 | (3230) sdtpldt0(sz10, sz10) = all_495_2_907 % 114.05/81.52 | (3231) sdtpldt0(sz10, sz10) = all_495_1_906 % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (549), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1372) xn = sz10 % 114.05/81.52 | % 114.05/81.52 | Equations (1372) can reduce 1364 to: % 114.05/81.52 | (174) $false % 114.05/81.52 | % 114.05/81.52 |-The branch is then unsatisfiable % 114.05/81.52 |-Branch two: % 114.05/81.52 | (1364) ~ (xn = sz10) % 114.05/81.52 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 114.05/81.52 | % 114.05/81.52 | Instantiating (1468) with all_501_0_908, all_501_1_909, all_501_2_910 yields: % 114.05/81.52 | (3236) ~ (all_501_0_908 = all_102_1_48) & ~ (all_501_1_909 = all_501_2_910) & sdtpldt0(xm, xn) = all_501_1_909 & sdtpldt0(xm, sz10) = all_501_2_910 & sdtpldt0(xn, xm) = all_501_0_908 & sdtlseqdt0(all_501_2_910, all_501_1_909) & sdtlseqdt0(all_102_1_48, all_501_0_908) % 114.05/81.52 | % 114.05/81.52 | Applying alpha-rule on (3236) yields: % 114.05/81.52 | (3237) ~ (all_501_1_909 = all_501_2_910) % 114.05/81.52 | (3238) sdtlseqdt0(all_102_1_48, all_501_0_908) % 114.05/81.52 | (3239) sdtpldt0(xm, sz10) = all_501_2_910 % 114.05/81.52 | (3240) ~ (all_501_0_908 = all_102_1_48) % 114.05/81.52 | (3241) sdtpldt0(xm, xn) = all_501_1_909 % 114.05/81.52 | (3242) sdtlseqdt0(all_501_2_910, all_501_1_909) % 114.05/81.52 | (3243) sdtpldt0(xn, xm) = all_501_0_908 % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (488), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1372) xn = sz10 % 114.05/81.52 | % 114.05/81.52 | Equations (1372) can reduce 1364 to: % 114.05/81.52 | (174) $false % 114.05/81.52 | % 114.05/81.52 |-The branch is then unsatisfiable % 114.05/81.52 |-Branch two: % 114.05/81.52 | (1364) ~ (xn = sz10) % 114.05/81.52 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 114.05/81.52 | % 114.05/81.52 | Instantiating (1572) with all_507_0_911, all_507_1_912 yields: % 114.05/81.52 | (3248) ~ (all_507_0_911 = all_507_1_912) & sdtpldt0(xn, xm) = all_507_0_911 & sdtpldt0(sz10, xm) = all_507_1_912 % 114.05/81.52 | % 114.05/81.52 | Applying alpha-rule on (3248) yields: % 114.05/81.52 | (3249) ~ (all_507_0_911 = all_507_1_912) % 114.05/81.52 | (3250) sdtpldt0(xn, xm) = all_507_0_911 % 114.05/81.52 | (3251) sdtpldt0(sz10, xm) = all_507_1_912 % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (534), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (2697) all_0_4_4 = xm % 114.05/81.52 | % 114.05/81.52 | From (2697) and (1274) follows: % 114.05/81.52 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 114.05/81.52 | % 114.05/81.52 | From (2697) and (144) follows: % 114.05/81.52 | (107) aNaturalNumber0(xm) % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (551), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1372) xn = sz10 % 114.05/81.52 | % 114.05/81.52 | Equations (1372) can reduce 1364 to: % 114.05/81.52 | (174) $false % 114.05/81.52 | % 114.05/81.52 |-The branch is then unsatisfiable % 114.05/81.52 |-Branch two: % 114.05/81.52 | (1364) ~ (xn = sz10) % 114.05/81.52 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.05/81.52 | % 114.05/81.52 | Instantiating (1502) with all_517_0_913, all_517_1_914, all_517_2_915 yields: % 114.05/81.52 | (3259) ~ (all_517_0_913 = all_83_0_38) & ~ (all_517_1_914 = all_517_2_915) & sdtpldt0(xn, xn) = all_517_0_913 & sdtpldt0(xn, xn) = all_517_1_914 & sdtpldt0(xn, sz10) = all_517_2_915 & sdtlseqdt0(all_517_2_915, all_517_1_914) & sdtlseqdt0(all_83_0_38, all_517_0_913) % 114.05/81.52 | % 114.05/81.52 | Applying alpha-rule on (3259) yields: % 114.05/81.52 | (3260) sdtlseqdt0(all_83_0_38, all_517_0_913) % 114.05/81.52 | (3261) sdtlseqdt0(all_517_2_915, all_517_1_914) % 114.05/81.52 | (3262) sdtpldt0(xn, xn) = all_517_1_914 % 114.05/81.52 | (3263) ~ (all_517_1_914 = all_517_2_915) % 114.05/81.52 | (3264) sdtpldt0(xn, xn) = all_517_0_913 % 114.05/81.52 | (3265) ~ (all_517_0_913 = all_83_0_38) % 114.05/81.52 | (3266) sdtpldt0(xn, sz10) = all_517_2_915 % 114.05/81.52 | % 114.05/81.52 +-Applying beta-rule and splitting (1018), into two cases. % 114.05/81.52 |-Branch one: % 114.05/81.52 | (1336) xm = sz00 % 114.05/81.52 | % 114.05/81.53 | Equations (1336) can reduce 1339 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1339) ~ (xm = sz00) % 114.05/81.53 | (1712) all_212_0_127 = xn % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (583), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.05/81.53 | % 114.05/81.53 | Instantiating (1549) with all_527_0_916, all_527_1_917, all_527_2_918 yields: % 114.05/81.53 | (3275) ~ (all_527_0_916 = xp) & ~ (all_527_1_917 = all_527_2_918) & sdtpldt0(all_52_0_18, xn) = all_527_1_917 & sdtpldt0(all_52_0_18, sz10) = all_527_2_918 & sdtpldt0(xn, all_52_0_18) = all_527_0_916 & sdtlseqdt0(all_527_2_918, all_527_1_917) & sdtlseqdt0(xp, all_527_0_916) % 114.05/81.53 | % 114.05/81.53 | Applying alpha-rule on (3275) yields: % 114.05/81.53 | (3276) sdtlseqdt0(xp, all_527_0_916) % 114.05/81.53 | (3277) sdtpldt0(all_52_0_18, xn) = all_527_1_917 % 114.05/81.53 | (3278) sdtpldt0(all_52_0_18, sz10) = all_527_2_918 % 114.05/81.53 | (3279) sdtlseqdt0(all_527_2_918, all_527_1_917) % 114.05/81.53 | (3280) ~ (all_527_1_917 = all_527_2_918) % 114.05/81.53 | (3281) sdtpldt0(xn, all_52_0_18) = all_527_0_916 % 114.05/81.53 | (3282) ~ (all_527_0_916 = xp) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (545), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.05/81.53 | % 114.05/81.53 | Instantiating (1587) with all_533_0_919, all_533_1_920, all_533_2_921 yields: % 114.05/81.53 | (3287) ~ (all_533_0_919 = all_533_1_920) & ~ (all_533_2_921 = all_102_2_49) & sdtpldt0(xm, xn) = all_533_2_921 & sdtpldt0(xn, xm) = all_533_0_919 & sdtpldt0(sz10, xm) = all_533_1_920 & sdtlseqdt0(all_533_1_920, all_533_0_919) & sdtlseqdt0(all_102_2_49, all_533_2_921) % 114.05/81.53 | % 114.05/81.53 | Applying alpha-rule on (3287) yields: % 114.05/81.53 | (3288) sdtlseqdt0(all_533_1_920, all_533_0_919) % 114.05/81.53 | (3289) sdtpldt0(xn, xm) = all_533_0_919 % 114.05/81.53 | (3290) sdtpldt0(xm, xn) = all_533_2_921 % 114.05/81.53 | (3291) sdtlseqdt0(all_102_2_49, all_533_2_921) % 114.05/81.53 | (3292) ~ (all_533_0_919 = all_533_1_920) % 114.05/81.53 | (3293) ~ (all_533_2_921 = all_102_2_49) % 114.05/81.53 | (3294) sdtpldt0(sz10, xm) = all_533_1_920 % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (1300), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1336) xm = sz00 % 114.05/81.53 | % 114.05/81.53 | Equations (1336) can reduce 1339 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1339) ~ (xm = sz00) % 114.05/81.53 | (1477) all_214_0_128 = xn % 114.05/81.53 | % 114.05/81.53 | From (1477) and (725) follows: % 114.05/81.53 | (113) aNaturalNumber0(xn) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (547), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.05/81.53 | % 114.05/81.53 | Instantiating (1433) with all_543_0_922, all_543_1_923, all_543_2_924 yields: % 114.05/81.53 | (3304) ~ (all_543_0_922 = all_83_2_40) & ~ (all_543_1_923 = all_543_2_924) & sdtpldt0(sz10, xn) = all_543_1_923 & sdtpldt0(sz10, sz10) = all_543_0_922 & sdtpldt0(sz10, sz10) = all_543_2_924 & sdtlseqdt0(all_543_0_922, all_83_2_40) & sdtlseqdt0(all_543_2_924, all_543_1_923) % 114.05/81.53 | % 114.05/81.53 | Applying alpha-rule on (3304) yields: % 114.05/81.53 | (3305) sdtlseqdt0(all_543_0_922, all_83_2_40) % 114.05/81.53 | (3306) sdtpldt0(sz10, sz10) = all_543_2_924 % 114.05/81.53 | (3307) ~ (all_543_1_923 = all_543_2_924) % 114.05/81.53 | (3308) sdtpldt0(sz10, sz10) = all_543_0_922 % 114.05/81.53 | (3309) sdtlseqdt0(all_543_2_924, all_543_1_923) % 114.05/81.53 | (3310) sdtpldt0(sz10, xn) = all_543_1_923 % 114.05/81.53 | (3311) ~ (all_543_0_922 = all_83_2_40) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (543), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.05/81.53 | % 114.05/81.53 | Instantiating (1421) with all_549_0_925, all_549_1_926, all_549_2_927 yields: % 114.05/81.53 | (3316) ~ (all_549_0_925 = all_0_4_4) & ~ (all_549_1_926 = all_549_2_927) & sdtpldt0(xm, xn) = all_549_1_926 & sdtpldt0(xm, sz10) = all_549_2_927 & sdtpldt0(sz10, xm) = all_549_0_925 & sdtlseqdt0(all_549_0_925, all_0_4_4) & sdtlseqdt0(all_549_2_927, all_549_1_926) % 114.05/81.53 | % 114.05/81.53 | Applying alpha-rule on (3316) yields: % 114.05/81.53 | (3317) ~ (all_549_1_926 = all_549_2_927) % 114.05/81.53 | (3318) ~ (all_549_0_925 = all_0_4_4) % 114.05/81.53 | (3319) sdtpldt0(xm, xn) = all_549_1_926 % 114.05/81.53 | (3320) sdtlseqdt0(all_549_2_927, all_549_1_926) % 114.05/81.53 | (3321) sdtpldt0(xm, sz10) = all_549_2_927 % 114.05/81.53 | (3322) sdtlseqdt0(all_549_0_925, all_0_4_4) % 114.05/81.53 | (3323) sdtpldt0(sz10, xm) = all_549_0_925 % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (1391), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (548), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (1382), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1392) xr = sz10 % 114.05/81.53 | % 114.05/81.53 | Combining equations (310,1392) yields a new equation: % 114.05/81.53 | (1371) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Simplifying 1371 yields: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1396) ~ (xr = sz10) % 114.05/81.53 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 114.05/81.53 | % 114.05/81.53 | Equations (310) can reduce 1396 to: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.53 | % 114.05/81.53 +-Applying beta-rule and splitting (509), into two cases. % 114.05/81.53 |-Branch one: % 114.05/81.53 | (1372) xn = sz10 % 114.05/81.53 | % 114.05/81.53 | Equations (1372) can reduce 1364 to: % 114.05/81.53 | (174) $false % 114.05/81.53 | % 114.05/81.53 |-The branch is then unsatisfiable % 114.05/81.53 |-Branch two: % 114.05/81.53 | (1364) ~ (xn = sz10) % 114.05/81.54 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.05/81.54 | % 114.05/81.54 +-Applying beta-rule and splitting (544), into two cases. % 114.05/81.54 |-Branch one: % 114.05/81.54 | (1372) xn = sz10 % 114.05/81.54 | % 114.05/81.54 | Equations (1372) can reduce 1364 to: % 114.05/81.54 | (174) $false % 114.05/81.54 | % 114.05/81.54 |-The branch is then unsatisfiable % 114.05/81.54 |-Branch two: % 114.05/81.54 | (1364) ~ (xn = sz10) % 114.05/81.54 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.05/81.54 | % 114.05/81.54 | Instantiating (1411) with all_577_0_935, all_577_1_936, all_577_2_937 yields: % 114.05/81.54 | (3347) ~ (all_577_0_935 = all_577_1_936) & ~ (all_577_2_937 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = all_577_2_937 & sdtpldt0(xn, all_0_4_4) = all_577_0_935 & sdtpldt0(sz10, all_0_4_4) = all_577_1_936 & sdtlseqdt0(all_577_1_936, all_577_0_935) & sdtlseqdt0(all_97_2_46, all_577_2_937) % 114.05/81.54 | % 114.05/81.54 | Applying alpha-rule on (3347) yields: % 114.05/81.54 | (3348) sdtpldt0(sz10, all_0_4_4) = all_577_1_936 % 114.05/81.54 | (3349) sdtlseqdt0(all_577_1_936, all_577_0_935) % 114.05/81.54 | (3350) ~ (all_577_0_935 = all_577_1_936) % 114.05/81.54 | (3351) sdtpldt0(xn, all_0_4_4) = all_577_0_935 % 114.05/81.54 | (3352) sdtlseqdt0(all_97_2_46, all_577_2_937) % 114.05/81.54 | (3353) ~ (all_577_2_937 = all_97_2_46) % 114.05/81.54 | (3354) sdtpldt0(all_0_4_4, xn) = all_577_2_937 % 114.05/81.54 | % 114.05/81.54 | From (2697) and (3348) follows: % 114.05/81.54 | (3355) sdtpldt0(sz10, xm) = all_577_1_936 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with all_52_0_18, sz10, xn, all_527_2_918 and discharging atoms sdtpldt0(all_52_0_18, sz10) = all_527_2_918, sdtpldt0(all_52_0_18, sz10) = xn, yields: % 114.05/81.54 | (3356) all_527_2_918 = xn % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with xn, sz10, all_495_0_905, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_905, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 114.05/81.54 | (3357) all_495_0_905 = all_83_2_40 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with xn, sz10, all_495_0_905, all_517_2_915 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_915, sdtpldt0(xn, sz10) = all_495_0_905, yields: % 114.05/81.54 | (3358) all_517_2_915 = all_495_0_905 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_915 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_915, sdtpldt0(xn, sz10) = sz10, yields: % 114.05/81.54 | (3359) all_517_2_915 = sz10 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (77) with xn, all_166_0_68, all_52_0_18, sz10 and discharging atoms sdtpldt0(sz10, all_166_0_68) = xn, sdtpldt0(sz10, all_52_0_18) = xn, aNaturalNumber0(all_166_0_68), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), yields: % 114.05/81.54 | (3360) all_166_0_68 = all_52_0_18 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_577_1_936, all_102_2_49 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_936, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 114.05/81.54 | (3361) all_577_1_936 = all_102_2_49 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_533_1_920, all_549_0_925 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_925, sdtpldt0(sz10, xm) = all_533_1_920, yields: % 114.05/81.54 | (3362) all_549_0_925 = all_533_1_920 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_507_1_912, all_577_1_936 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_936, sdtpldt0(sz10, xm) = all_507_1_912, yields: % 114.05/81.54 | (3363) all_577_1_936 = all_507_1_912 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_507_1_912, all_533_1_920 and discharging atoms sdtpldt0(sz10, xm) = all_533_1_920, sdtpldt0(sz10, xm) = all_507_1_912, yields: % 114.05/81.54 | (3364) all_533_1_920 = all_507_1_912 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_490_1_903, all_577_1_936 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_936, sdtpldt0(sz10, xm) = all_490_1_903, yields: % 114.05/81.54 | (3365) all_577_1_936 = all_490_1_903 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_484_0_900, all_549_0_925 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_925, sdtpldt0(sz10, xm) = all_484_0_900, yields: % 114.05/81.54 | (3366) all_549_0_925 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, xm, all_97_2_46, all_577_1_936 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_936, sdtpldt0(sz10, xm) = all_97_2_46, yields: % 114.05/81.54 | (3367) all_577_1_936 = all_97_2_46 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, sz10, all_543_2_924, all_543_0_922 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_922, sdtpldt0(sz10, sz10) = all_543_2_924, yields: % 114.05/81.54 | (3368) all_543_0_922 = all_543_2_924 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, sz10, all_495_1_906, all_543_0_922 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_922, sdtpldt0(sz10, sz10) = all_495_1_906, yields: % 114.05/81.54 | (3369) all_543_0_922 = all_495_1_906 % 114.05/81.54 | % 114.05/81.54 | Instantiating formula (16) with sz10, sz10, all_495_2_907, all_543_2_924 and discharging atoms sdtpldt0(sz10, sz10) = all_543_2_924, sdtpldt0(sz10, sz10) = all_495_2_907, yields: % 114.05/81.54 | (3370) all_543_2_924 = all_495_2_907 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3367,3365) yields a new equation: % 114.05/81.54 | (3371) all_490_1_903 = all_97_2_46 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3361,3365) yields a new equation: % 114.05/81.54 | (3372) all_490_1_903 = all_102_2_49 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3363,3365) yields a new equation: % 114.05/81.54 | (3373) all_507_1_912 = all_490_1_903 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3373 yields: % 114.05/81.54 | (3374) all_507_1_912 = all_490_1_903 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3362,3366) yields a new equation: % 114.05/81.54 | (3375) all_533_1_920 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3375 yields: % 114.05/81.54 | (3376) all_533_1_920 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3368,3369) yields a new equation: % 114.05/81.54 | (3377) all_543_2_924 = all_495_1_906 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3377 yields: % 114.05/81.54 | (3378) all_543_2_924 = all_495_1_906 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3370,3378) yields a new equation: % 114.05/81.54 | (3379) all_495_1_906 = all_495_2_907 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3364,3376) yields a new equation: % 114.05/81.54 | (3380) all_507_1_912 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3380 yields: % 114.05/81.54 | (3381) all_507_1_912 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3358,3359) yields a new equation: % 114.05/81.54 | (3382) all_495_0_905 = sz10 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3382 yields: % 114.05/81.54 | (3383) all_495_0_905 = sz10 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3374,3381) yields a new equation: % 114.05/81.54 | (3384) all_490_1_903 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3384 yields: % 114.05/81.54 | (3385) all_490_1_903 = all_484_0_900 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3357,3383) yields a new equation: % 114.05/81.54 | (3386) all_83_2_40 = sz10 % 114.05/81.54 | % 114.05/81.54 | Simplifying 3386 yields: % 114.05/81.54 | (2392) all_83_2_40 = sz10 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3371,3385) yields a new equation: % 114.05/81.54 | (3388) all_484_0_900 = all_97_2_46 % 114.05/81.54 | % 114.05/81.54 | Combining equations (3372,3385) yields a new equation: % 114.05/81.54 | (3389) all_484_0_900 = all_102_2_49 % 114.05/81.54 | % 114.05/81.55 | Combining equations (3389,3388) yields a new equation: % 114.05/81.55 | (3390) all_102_2_49 = all_97_2_46 % 114.05/81.55 | % 114.05/81.55 | Simplifying 3390 yields: % 114.05/81.55 | (2813) all_102_2_49 = all_97_2_46 % 114.05/81.55 | % 114.05/81.55 | From (3356) and (3278) follows: % 114.05/81.55 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 114.05/81.55 | % 114.05/81.55 | From (2813) and (376) follows: % 114.05/81.55 | (2698) sdtpldt0(xm, sz10) = all_97_2_46 % 114.05/81.55 | % 114.05/81.55 | From (2392) and (337) follows: % 114.05/81.55 | (2640) sdtpldt0(xn, sz10) = sz10 % 114.05/81.55 | % 114.05/81.55 | From (3360) and (619) follows: % 114.05/81.55 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 114.05/81.55 | % 114.05/81.55 | From (2813) and (494) follows: % 114.05/81.55 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 114.05/81.55 | % 114.05/81.55 | From (2392) and (504) follows: % 114.05/81.55 | (3397) sdtpldt0(sz10, xn) = sz10 % 114.05/81.55 | % 114.05/81.55 | From (3379) and (3231) follows: % 114.05/81.55 | (3230) sdtpldt0(sz10, sz10) = all_495_2_907 % 114.05/81.55 | % 114.05/81.55 | From (2392) and (1194) follows: % 114.05/81.55 | (239) sdtlseqdt0(sz10, xn) % 114.05/81.55 | % 114.05/81.55 | From (3360) and (620) follows: % 114.05/81.55 | (266) aNaturalNumber0(all_52_0_18) % 114.05/81.55 | % 114.05/81.55 | From (2392) and (1199) follows: % 114.05/81.55 | (52) aNaturalNumber0(sz10) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (22) with sz10, sz10, xn and discharging atoms sdtpldt0(xn, sz10) = sz10, aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 114.05/81.55 | (1366) sdtlseqdt0(xn, sz10) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (61) with sz00, xn and discharging atoms sdtlseqdt0(xn, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3403) ? [v0] : (sdtpldt0(xn, v0) = sz00 & aNaturalNumber0(v0)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (7) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3404) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (94) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3405) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (67) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(all_52_0_18, sz10) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3406) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (67) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3407) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (67) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(xn, sz10) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3408) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (97) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3409) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (97) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3410) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (97) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(sz10, xn) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3411) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (67) with all_495_2_907, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_907, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3412) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_907) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_907, v0)) % 114.05/81.55 | % 114.05/81.55 | Instantiating formula (97) with all_495_2_907, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_907, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 114.05/81.55 | (3413) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_907) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_907, v2)) % 114.05/81.55 | % 114.05/81.55 | Instantiating (3403) with all_645_0_965 yields: % 114.05/81.55 | (3414) sdtpldt0(xn, all_645_0_965) = sz00 & aNaturalNumber0(all_645_0_965) % 114.05/81.55 | % 114.05/81.55 | Applying alpha-rule on (3414) yields: % 114.05/81.55 | (3415) sdtpldt0(xn, all_645_0_965) = sz00 % 114.05/81.55 | (3416) aNaturalNumber0(all_645_0_965) % 114.05/81.55 | % 114.05/81.55 +-Applying beta-rule and splitting (3410), into two cases. % 114.05/81.55 |-Branch one: % 114.05/81.55 | (1337) sz10 = sz00 % 114.05/81.55 | % 114.05/81.55 | Equations (1337) can reduce 88 to: % 114.05/81.55 | (174) $false % 114.05/81.55 | % 114.05/81.55 |-The branch is then unsatisfiable % 114.05/81.55 |-Branch two: % 114.05/81.55 | (88) ~ (sz10 = sz00) % 114.05/81.55 | (3420) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 114.05/81.55 | % 114.05/81.55 +-Applying beta-rule and splitting (3406), into two cases. % 114.05/81.55 |-Branch one: % 114.05/81.55 | (1337) sz10 = sz00 % 114.05/81.55 | % 114.05/81.55 | Equations (1337) can reduce 88 to: % 114.05/81.55 | (174) $false % 114.05/81.55 | % 114.05/81.55 |-The branch is then unsatisfiable % 114.05/81.55 |-Branch two: % 114.05/81.55 | (88) ~ (sz10 = sz00) % 114.05/81.55 | (3424) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 114.05/81.55 | % 114.05/81.55 +-Applying beta-rule and splitting (3408), into two cases. % 114.05/81.55 |-Branch one: % 114.05/81.55 | (1337) sz10 = sz00 % 114.05/81.55 | % 114.05/81.55 | Equations (1337) can reduce 88 to: % 114.05/81.55 | (174) $false % 114.05/81.55 | % 114.05/81.55 |-The branch is then unsatisfiable % 114.05/81.55 |-Branch two: % 114.05/81.55 | (88) ~ (sz10 = sz00) % 114.05/81.55 | (3428) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3405), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3432) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3409), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3436) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3404), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3440) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3407), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3444) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3412), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3448) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_907) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_907, v0)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3413), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_907) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_907, v2)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (3411), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (88) ~ (sz10 = sz00) % 114.05/81.56 | (3456) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 114.05/81.56 | % 114.05/81.56 | Instantiating formula (2) with xn, sz10 and discharging atoms sdtlseqdt0(xn, sz10), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 114.05/81.56 | (1372) xn = sz10 % 114.05/81.56 | % 114.05/81.56 | Instantiating formula (87) with all_645_0_965, xn and discharging atoms sdtpldt0(xn, all_645_0_965) = sz00, aNaturalNumber0(all_645_0_965), aNaturalNumber0(xn), yields: % 114.05/81.56 | (1379) xn = sz00 % 114.05/81.56 | % 114.05/81.56 | Combining equations (1372,1379) yields a new equation: % 114.05/81.56 | (1793) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Simplifying 1793 yields: % 114.05/81.56 | (1337) sz10 = sz00 % 114.05/81.56 | % 114.05/81.56 | Equations (1337) can reduce 88 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.56 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 114.05/81.56 | % 114.05/81.56 | Instantiating (2889) with all_513_0_1403, all_513_1_1404, all_513_2_1405 yields: % 114.05/81.56 | (3464) ~ (all_513_0_1403 = all_513_1_1404) & ~ (all_513_2_1405 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_1403 & sdtpldt0(xm, xn) = all_513_1_1404 & sdtpldt0(xn, all_0_4_4) = all_513_2_1405 & sdtlseqdt0(all_513_1_1404, all_513_0_1403) & sdtlseqdt0(all_0_4_4, all_513_2_1405) % 114.05/81.56 | % 114.05/81.56 | Applying alpha-rule on (3464) yields: % 114.05/81.56 | (3465) ~ (all_513_0_1403 = all_513_1_1404) % 114.05/81.56 | (3466) ~ (all_513_2_1405 = all_0_4_4) % 114.05/81.56 | (3467) sdtpldt0(xn, all_0_4_4) = all_513_2_1405 % 114.05/81.56 | (3468) sdtpldt0(all_0_4_4, xn) = all_513_0_1403 % 114.05/81.56 | (3469) sdtlseqdt0(all_0_4_4, all_513_2_1405) % 114.05/81.56 | (3470) sdtpldt0(xm, xn) = all_513_1_1404 % 114.05/81.56 | (3471) sdtlseqdt0(all_513_1_1404, all_513_0_1403) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (551), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1372) xn = sz10 % 114.05/81.56 | % 114.05/81.56 | Equations (1372) can reduce 1364 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (1364) ~ (xn = sz10) % 114.05/81.56 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (583), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1372) xn = sz10 % 114.05/81.56 | % 114.05/81.56 | Equations (1372) can reduce 1364 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (1364) ~ (xn = sz10) % 114.05/81.56 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.05/81.56 | % 114.05/81.56 +-Applying beta-rule and splitting (545), into two cases. % 114.05/81.56 |-Branch one: % 114.05/81.56 | (1372) xn = sz10 % 114.05/81.56 | % 114.05/81.56 | Equations (1372) can reduce 1364 to: % 114.05/81.56 | (174) $false % 114.05/81.56 | % 114.05/81.56 |-The branch is then unsatisfiable % 114.05/81.56 |-Branch two: % 114.05/81.56 | (1364) ~ (xn = sz10) % 114.05/81.56 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.05/81.56 | % 114.05/81.56 | Instantiating (1587) with all_535_0_1412, all_535_1_1413, all_535_2_1414 yields: % 114.05/81.56 | (3484) ~ (all_535_0_1412 = all_535_1_1413) & ~ (all_535_2_1414 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_1414 & sdtpldt0(xn, xm) = all_535_0_1412 & sdtpldt0(sz10, xm) = all_535_1_1413 & sdtlseqdt0(all_535_1_1413, all_535_0_1412) & sdtlseqdt0(all_102_2_49, all_535_2_1414) % 114.05/81.56 | % 114.05/81.56 | Applying alpha-rule on (3484) yields: % 114.05/81.57 | (3485) sdtpldt0(xn, xm) = all_535_0_1412 % 114.05/81.57 | (3486) ~ (all_535_0_1412 = all_535_1_1413) % 114.05/81.57 | (3487) sdtpldt0(xm, xn) = all_535_2_1414 % 114.05/81.57 | (3488) sdtpldt0(sz10, xm) = all_535_1_1413 % 114.05/81.57 | (3489) sdtlseqdt0(all_102_2_49, all_535_2_1414) % 114.05/81.57 | (3490) sdtlseqdt0(all_535_1_1413, all_535_0_1412) % 114.05/81.57 | (3491) ~ (all_535_2_1414 = all_102_2_49) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (533), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (516), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (547), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (511), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 114.05/81.57 | % 114.05/81.57 | Instantiating (1576) with all_559_0_1423, all_559_1_1424 yields: % 114.05/81.57 | (3508) ~ (all_559_0_1423 = all_559_1_1424) & sdtpldt0(xm, xn) = all_559_1_1424 & sdtpldt0(xm, sz10) = all_559_0_1423 % 114.05/81.57 | % 114.05/81.57 | Applying alpha-rule on (3508) yields: % 114.05/81.57 | (3509) ~ (all_559_0_1423 = all_559_1_1424) % 114.05/81.57 | (3510) sdtpldt0(xm, xn) = all_559_1_1424 % 114.05/81.57 | (3511) sdtpldt0(xm, sz10) = all_559_0_1423 % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (491), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (535), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (548), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (544), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (536), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (509), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (515), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (507), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (538), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (2697) all_0_4_4 = xm % 114.05/81.57 | % 114.05/81.57 | Equations (2697) can reduce 2888 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.57 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 114.05/81.57 | % 114.05/81.57 +-Applying beta-rule and splitting (510), into two cases. % 114.05/81.57 |-Branch one: % 114.05/81.57 | (1372) xn = sz10 % 114.05/81.57 | % 114.05/81.57 | Equations (1372) can reduce 1364 to: % 114.05/81.57 | (174) $false % 114.05/81.57 | % 114.05/81.57 |-The branch is then unsatisfiable % 114.05/81.57 |-Branch two: % 114.05/81.57 | (1364) ~ (xn = sz10) % 114.05/81.57 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 114.05/81.57 | % 114.05/81.57 | Instantiating (1490) with all_623_0_1448, all_623_1_1449 yields: % 114.05/81.57 | (3552) ~ (all_623_0_1448 = all_623_1_1449) & sdtpldt0(xm, xn) = all_623_0_1448 & sdtpldt0(xm, sz10) = all_623_1_1449 % 114.05/81.57 | % 114.05/81.57 | Applying alpha-rule on (3552) yields: % 114.05/81.57 | (3553) ~ (all_623_0_1448 = all_623_1_1449) % 114.05/81.58 | (3554) sdtpldt0(xm, xn) = all_623_0_1448 % 114.05/81.58 | (3555) sdtpldt0(xm, sz10) = all_623_1_1449 % 114.05/81.58 | % 114.05/81.58 +-Applying beta-rule and splitting (543), into two cases. % 114.05/81.58 |-Branch one: % 114.05/81.58 | (1372) xn = sz10 % 114.05/81.58 | % 114.05/81.58 | Equations (1372) can reduce 1364 to: % 114.05/81.58 | (174) $false % 114.05/81.58 | % 114.05/81.58 |-The branch is then unsatisfiable % 114.05/81.58 |-Branch two: % 114.05/81.58 | (1364) ~ (xn = sz10) % 114.05/81.58 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.05/81.58 | % 114.05/81.58 | Instantiating (1421) with all_633_0_1450, all_633_1_1451, all_633_2_1452 yields: % 114.05/81.58 | (3560) ~ (all_633_0_1450 = all_0_4_4) & ~ (all_633_1_1451 = all_633_2_1452) & sdtpldt0(xm, xn) = all_633_1_1451 & sdtpldt0(xm, sz10) = all_633_2_1452 & sdtpldt0(sz10, xm) = all_633_0_1450 & sdtlseqdt0(all_633_0_1450, all_0_4_4) & sdtlseqdt0(all_633_2_1452, all_633_1_1451) % 114.05/81.58 | % 114.05/81.58 | Applying alpha-rule on (3560) yields: % 114.05/81.58 | (3561) sdtpldt0(sz10, xm) = all_633_0_1450 % 114.05/81.58 | (3562) sdtpldt0(xm, sz10) = all_633_2_1452 % 114.05/81.58 | (3563) sdtpldt0(xm, xn) = all_633_1_1451 % 114.05/81.58 | (3564) sdtlseqdt0(all_633_2_1452, all_633_1_1451) % 114.05/81.58 | (3565) ~ (all_633_0_1450 = all_0_4_4) % 114.05/81.58 | (3566) sdtlseqdt0(all_633_0_1450, all_0_4_4) % 114.05/81.58 | (3567) ~ (all_633_1_1451 = all_633_2_1452) % 114.05/81.58 | % 114.05/81.58 +-Applying beta-rule and splitting (512), into two cases. % 114.05/81.58 |-Branch one: % 114.05/81.58 | (2697) all_0_4_4 = xm % 114.05/81.58 | % 114.05/81.58 | Equations (2697) can reduce 2888 to: % 114.05/81.58 | (174) $false % 114.05/81.58 | % 114.05/81.58 |-The branch is then unsatisfiable % 114.05/81.58 |-Branch two: % 114.05/81.58 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.58 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 114.05/81.58 | % 114.05/81.58 +-Applying beta-rule and splitting (537), into two cases. % 114.05/81.58 |-Branch one: % 114.05/81.58 | (2697) all_0_4_4 = xm % 114.05/81.58 | % 114.05/81.58 | Equations (2697) can reduce 2888 to: % 114.05/81.58 | (174) $false % 114.05/81.58 | % 114.05/81.58 |-The branch is then unsatisfiable % 114.05/81.58 |-Branch two: % 114.05/81.58 | (2888) ~ (all_0_4_4 = xm) % 114.05/81.58 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_623_0_1448, all_633_1_1451 and discharging atoms sdtpldt0(xm, xn) = all_633_1_1451, sdtpldt0(xm, xn) = all_623_0_1448, yields: % 114.05/81.58 | (3576) all_633_1_1451 = all_623_0_1448 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_559_1_1424, all_633_1_1451 and discharging atoms sdtpldt0(xm, xn) = all_633_1_1451, sdtpldt0(xm, xn) = all_559_1_1424, yields: % 114.05/81.58 | (3577) all_633_1_1451 = all_559_1_1424 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_535_2_1414, all_623_0_1448 and discharging atoms sdtpldt0(xm, xn) = all_623_0_1448, sdtpldt0(xm, xn) = all_535_2_1414, yields: % 114.05/81.58 | (3578) all_623_0_1448 = all_535_2_1414 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_513_1_1404, all_623_0_1448 and discharging atoms sdtpldt0(xm, xn) = all_623_0_1448, sdtpldt0(xm, xn) = all_513_1_1404, yields: % 114.05/81.58 | (3579) all_623_0_1448 = all_513_1_1404 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_501_1_909, all_623_0_1448 and discharging atoms sdtpldt0(xm, xn) = all_623_0_1448, sdtpldt0(xm, xn) = all_501_1_909, yields: % 114.05/81.58 | (3580) all_623_0_1448 = all_501_1_909 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_484_1_901, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_901, sdtpldt0(xm, xn) = all_0_4_4, yields: % 114.05/81.58 | (3581) all_484_1_901 = all_0_4_4 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, all_484_1_901, all_623_0_1448 and discharging atoms sdtpldt0(xm, xn) = all_623_0_1448, sdtpldt0(xm, xn) = all_484_1_901, yields: % 114.05/81.58 | (3582) all_623_0_1448 = all_484_1_901 % 114.05/81.58 | % 114.05/81.58 | Instantiating formula (16) with xm, xn, xm, all_623_0_1448 and discharging atoms sdtpldt0(xm, xn) = all_623_0_1448, sdtpldt0(xm, xn) = xm, yields: % 114.05/81.58 | (3583) all_623_0_1448 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3576,3577) yields a new equation: % 114.05/81.58 | (3584) all_623_0_1448 = all_559_1_1424 % 114.05/81.58 | % 114.05/81.58 | Simplifying 3584 yields: % 114.05/81.58 | (3585) all_623_0_1448 = all_559_1_1424 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3579,3585) yields a new equation: % 114.05/81.58 | (3586) all_559_1_1424 = all_513_1_1404 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3582,3585) yields a new equation: % 114.05/81.58 | (3587) all_559_1_1424 = all_484_1_901 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3578,3585) yields a new equation: % 114.05/81.58 | (3588) all_559_1_1424 = all_535_2_1414 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3583,3585) yields a new equation: % 114.05/81.58 | (3589) all_559_1_1424 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3580,3585) yields a new equation: % 114.05/81.58 | (3590) all_559_1_1424 = all_501_1_909 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3587,3588) yields a new equation: % 114.05/81.58 | (3591) all_535_2_1414 = all_484_1_901 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3586,3588) yields a new equation: % 114.05/81.58 | (3592) all_535_2_1414 = all_513_1_1404 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3589,3588) yields a new equation: % 114.05/81.58 | (3593) all_535_2_1414 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3590,3588) yields a new equation: % 114.05/81.58 | (3594) all_535_2_1414 = all_501_1_909 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3593,3592) yields a new equation: % 114.05/81.58 | (3595) all_513_1_1404 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3591,3592) yields a new equation: % 114.05/81.58 | (3596) all_513_1_1404 = all_484_1_901 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3594,3592) yields a new equation: % 114.05/81.58 | (3597) all_513_1_1404 = all_501_1_909 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3595,3597) yields a new equation: % 114.05/81.58 | (3598) all_501_1_909 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3596,3597) yields a new equation: % 114.05/81.58 | (3599) all_501_1_909 = all_484_1_901 % 114.05/81.58 | % 114.05/81.58 | Combining equations (3599,3598) yields a new equation: % 114.05/81.58 | (3600) all_484_1_901 = xm % 114.05/81.58 | % 114.05/81.58 | Simplifying 3600 yields: % 114.05/81.58 | (3601) all_484_1_901 = xm % 114.05/81.58 | % 114.05/81.58 | Combining equations (3601,3581) yields a new equation: % 114.05/81.58 | (2697) all_0_4_4 = xm % 114.05/81.58 | % 114.05/81.59 | Equations (2697) can reduce 2888 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (3604) ~ sdtlseqdt0(xp, sz00) % 114.05/81.59 | (3605) sdtlseqdt0(sz00, xp) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (137), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1336) xm = sz00 % 114.05/81.59 | % 114.05/81.59 | From (1336) and (479) follows: % 114.05/81.59 | (1330) sdtlseqdt0(xp, sz00) % 114.05/81.59 | % 114.05/81.59 | Using (1330) and (3604) yields: % 114.05/81.59 | (1719) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1339) ~ (xm = sz00) % 114.05/81.59 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (194), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1336) xm = sz00 % 114.05/81.59 | % 114.05/81.59 | Equations (1336) can reduce 1339 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1339) ~ (xm = sz00) % 114.05/81.59 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (1302), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1336) xm = sz00 % 114.05/81.59 | % 114.05/81.59 | Equations (1336) can reduce 1339 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1339) ~ (xm = sz00) % 114.05/81.59 | (1361) xp = xn % 114.05/81.59 | % 114.05/81.59 | From (1361) and (3604) follows: % 114.05/81.59 | (3619) ~ sdtlseqdt0(xn, sz00) % 114.05/81.59 | % 114.05/81.59 | Using (1329) and (3619) yields: % 114.05/81.59 | (1719) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (3621) ~ sdtlseqdt0(xr, sz00) % 114.05/81.59 | (3622) sdtlseqdt0(sz00, xr) % 114.05/81.59 | % 114.05/81.59 | From (310) and (3622) follows: % 114.05/81.59 | (3623) sdtlseqdt0(sz00, xn) % 114.05/81.59 | % 114.05/81.59 | From (310) and (3621) follows: % 114.05/81.59 | (3619) ~ sdtlseqdt0(xn, sz00) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (151), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1330) sdtlseqdt0(xp, sz00) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (147), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1379) xn = sz00 % 114.05/81.59 | % 114.05/81.59 | From (1379) and (3623) follows: % 114.05/81.59 | (154) sdtlseqdt0(sz00, sz00) % 114.05/81.59 | % 114.05/81.59 | From (1379) and (3619) follows: % 114.05/81.59 | (3628) ~ sdtlseqdt0(sz00, sz00) % 114.05/81.59 | % 114.05/81.59 | Using (154) and (3628) yields: % 114.05/81.59 | (1719) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1365) ~ (xn = sz00) % 114.05/81.59 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (1021), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1379) xn = sz00 % 114.05/81.59 | % 114.05/81.59 | Equations (1379) can reduce 1365 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1365) ~ (xn = sz00) % 114.05/81.59 | (1415) all_146_0_54 = xm % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (127), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1377) xr = sz00 % 114.05/81.59 | % 114.05/81.59 | Combining equations (1377,310) yields a new equation: % 114.05/81.59 | (1379) xn = sz00 % 114.05/81.59 | % 114.05/81.59 | Equations (1379) can reduce 1365 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1381) ~ (xr = sz00) % 114.05/81.59 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 114.05/81.59 | % 114.05/81.59 | Equations (310) can reduce 1381 to: % 114.05/81.59 | (1365) ~ (xn = sz00) % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (137), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1336) xm = sz00 % 114.05/81.59 | % 114.05/81.59 | From (1336) and (1172) follows: % 114.05/81.59 | (1762) sdtpldt0(all_102_2_49, all_52_0_18) = sz00 % 114.05/81.59 | % 114.05/81.59 | From (1336) and (494) follows: % 114.05/81.59 | (1764) sdtpldt0(sz10, sz00) = all_102_2_49 % 114.05/81.59 | % 114.05/81.59 +-Applying beta-rule and splitting (521), into two cases. % 114.05/81.59 |-Branch one: % 114.05/81.59 | (1370) xm = xn % 114.05/81.59 | % 114.05/81.59 | Combining equations (1370,1336) yields a new equation: % 114.05/81.59 | (1378) xn = sz00 % 114.05/81.59 | % 114.05/81.59 | Simplifying 1378 yields: % 114.05/81.59 | (1379) xn = sz00 % 114.05/81.59 | % 114.05/81.59 | Equations (1379) can reduce 1365 to: % 114.05/81.59 | (174) $false % 114.05/81.59 | % 114.05/81.59 |-The branch is then unsatisfiable % 114.05/81.59 |-Branch two: % 114.05/81.59 | (1426) ~ (xm = xn) % 114.05/81.59 | (1581) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.05/81.59 | % 114.05/81.59 | Instantiating (1581) with all_476_0_1604, all_476_1_1605 yields: % 114.05/81.59 | (3651) ~ (all_476_0_1604 = all_102_2_49) & ~ (all_476_1_1605 = all_83_0_38) & sdtpldt0(xn, sz10) = all_476_0_1604 & sdtpldt0(sz10, xm) = all_476_1_1605 % 114.05/81.59 | % 114.05/81.59 | Applying alpha-rule on (3651) yields: % 114.05/81.59 | (3652) ~ (all_476_0_1604 = all_102_2_49) % 114.05/81.59 | (3653) ~ (all_476_1_1605 = all_83_0_38) % 114.05/81.59 | (3654) sdtpldt0(xn, sz10) = all_476_0_1604 % 114.05/81.59 | (3655) sdtpldt0(sz10, xm) = all_476_1_1605 % 114.05/81.59 | % 114.05/81.59 | Equations (1336) can reduce 1426 to: % 114.05/81.59 | (2520) ~ (xn = sz00) % 114.05/81.59 | % 114.05/81.59 | Simplifying 2520 yields: % 114.05/81.59 | (1365) ~ (xn = sz00) % 114.05/81.59 | % 114.05/81.59 | From (1336) and (3655) follows: % 114.05/81.60 | (3658) sdtpldt0(sz10, sz00) = all_476_1_1605 % 114.05/81.60 | % 114.05/81.60 +-Applying beta-rule and splitting (481), into two cases. % 114.05/81.60 |-Branch one: % 114.05/81.60 | (1368) xp = xm % 114.05/81.60 | % 114.05/81.60 | Combining equations (1336,1368) yields a new equation: % 114.05/81.60 | (173) xp = sz00 % 114.05/81.60 | % 114.05/81.60 | Equations (173) can reduce 37 to: % 114.05/81.60 | (174) $false % 114.05/81.60 | % 114.05/81.60 |-The branch is then unsatisfiable % 114.05/81.60 |-Branch two: % 114.05/81.60 | (1374) ~ (xp = xm) % 114.05/81.60 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 114.05/81.60 | % 114.05/81.60 | Equations (1336) can reduce 1374 to: % 114.05/81.60 | (37) ~ (xp = sz00) % 114.05/81.60 | % 114.05/81.60 +-Applying beta-rule and splitting (499), into two cases. % 114.05/81.60 |-Branch one: % 114.05/81.60 | (1334) xm = sz10 % 114.05/81.60 | % 114.05/81.60 | Combining equations (1334,1336) yields a new equation: % 114.05/81.60 | (1793) sz10 = sz00 % 114.05/81.60 | % 114.05/81.60 | Simplifying 1793 yields: % 114.05/81.60 | (1337) sz10 = sz00 % 114.05/81.60 | % 114.05/81.60 | Equations (1337) can reduce 88 to: % 114.05/81.60 | (174) $false % 114.05/81.60 | % 114.05/81.60 |-The branch is then unsatisfiable % 114.05/81.60 |-Branch two: % 114.05/81.60 | (1768) ~ (xm = sz10) % 114.05/81.60 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 114.05/81.60 | % 114.05/81.60 | Equations (1336) can reduce 1768 to: % 114.05/81.60 | (1775) ~ (sz10 = sz00) % 114.05/81.60 | % 114.05/81.60 | Simplifying 1775 yields: % 114.05/81.60 | (88) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (557), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1434) all_54_0_19 = xm % 114.38/81.60 | % 114.38/81.60 | Combining equations (1200,1434) yields a new equation: % 114.38/81.60 | (1838) xp = xm % 114.38/81.60 | % 114.38/81.60 | Simplifying 1838 yields: % 114.38/81.60 | (1368) xp = xm % 114.38/81.60 | % 114.38/81.60 | Combining equations (1336,1368) yields a new equation: % 114.38/81.60 | (173) xp = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (173) can reduce 37 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1438) ~ (all_54_0_19 = xm) % 114.38/81.60 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.60 | % 114.38/81.60 | Instantiating (1485) with all_494_0_1610, all_494_1_1611 yields: % 114.38/81.60 | (3680) ~ (all_494_0_1610 = all_102_2_49) & ~ (all_494_1_1611 = sz10) & sdtpldt0(all_54_0_19, sz10) = all_494_0_1610 & sdtpldt0(sz10, xm) = all_494_1_1611 % 114.38/81.60 | % 114.38/81.60 | Applying alpha-rule on (3680) yields: % 114.38/81.60 | (3681) ~ (all_494_0_1610 = all_102_2_49) % 114.38/81.60 | (3682) ~ (all_494_1_1611 = sz10) % 114.38/81.60 | (3683) sdtpldt0(all_54_0_19, sz10) = all_494_0_1610 % 114.38/81.60 | (3684) sdtpldt0(sz10, xm) = all_494_1_1611 % 114.38/81.60 | % 114.38/81.60 | From (1336) and (3684) follows: % 114.38/81.60 | (3685) sdtpldt0(sz10, sz00) = all_494_1_1611 % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (497), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1334) xm = sz10 % 114.38/81.60 | % 114.38/81.60 | Combining equations (1334,1336) yields a new equation: % 114.38/81.60 | (1793) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1793 yields: % 114.38/81.60 | (1337) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1337) can reduce 88 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1768) ~ (xm = sz10) % 114.38/81.60 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1768 to: % 114.38/81.60 | (1775) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 1775 yields: % 114.38/81.60 | (88) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (500), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1370) xm = xn % 114.38/81.60 | % 114.38/81.60 | Combining equations (1370,1336) yields a new equation: % 114.38/81.60 | (1378) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1378 yields: % 114.38/81.60 | (1379) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1379) can reduce 1365 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1426) ~ (xm = xn) % 114.38/81.60 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 114.38/81.60 | % 114.38/81.60 | Instantiating (1427) with all_506_0_1614, all_506_1_1615 yields: % 114.38/81.60 | (3700) ~ (all_506_0_1614 = all_506_1_1615) & sdtpldt0(sz10, xm) = all_506_0_1614 & sdtpldt0(sz10, xn) = all_506_1_1615 % 114.38/81.60 | % 114.38/81.60 | Applying alpha-rule on (3700) yields: % 114.38/81.60 | (3701) ~ (all_506_0_1614 = all_506_1_1615) % 114.38/81.60 | (3702) sdtpldt0(sz10, xm) = all_506_0_1614 % 114.38/81.60 | (3703) sdtpldt0(sz10, xn) = all_506_1_1615 % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1426 to: % 114.38/81.60 | (2520) ~ (xn = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 2520 yields: % 114.38/81.60 | (1365) ~ (xn = sz00) % 114.38/81.60 | % 114.38/81.60 | From (1336) and (3702) follows: % 114.38/81.60 | (3706) sdtpldt0(sz10, sz00) = all_506_0_1614 % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (520), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1334) xm = sz10 % 114.38/81.60 | % 114.38/81.60 | Combining equations (1334,1336) yields a new equation: % 114.38/81.60 | (1793) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1793 yields: % 114.38/81.60 | (1337) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1337) can reduce 88 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1768) ~ (xm = sz10) % 114.38/81.60 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1768 to: % 114.38/81.60 | (1775) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 1775 yields: % 114.38/81.60 | (88) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (514), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1370) xm = xn % 114.38/81.60 | % 114.38/81.60 | Combining equations (1370,1336) yields a new equation: % 114.38/81.60 | (1378) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1378 yields: % 114.38/81.60 | (1379) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1379) can reduce 1365 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1426) ~ (xm = xn) % 114.38/81.60 | (1462) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1426 to: % 114.38/81.60 | (2520) ~ (xn = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 2520 yields: % 114.38/81.60 | (1365) ~ (xn = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (498), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1334) xm = sz10 % 114.38/81.60 | % 114.38/81.60 | Combining equations (1334,1336) yields a new equation: % 114.38/81.60 | (1793) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1793 yields: % 114.38/81.60 | (1337) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1337) can reduce 88 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1768) ~ (xm = sz10) % 114.38/81.60 | (2196) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1768 to: % 114.38/81.60 | (1775) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 1775 yields: % 114.38/81.60 | (88) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (518), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1334) xm = sz10 % 114.38/81.60 | % 114.38/81.60 | Combining equations (1334,1336) yields a new equation: % 114.38/81.60 | (1793) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1793 yields: % 114.38/81.60 | (1337) sz10 = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1337) can reduce 88 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1768) ~ (xm = sz10) % 114.38/81.60 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 114.38/81.60 | % 114.38/81.60 | Equations (1336) can reduce 1768 to: % 114.38/81.60 | (1775) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 | Simplifying 1775 yields: % 114.38/81.60 | (88) ~ (sz10 = sz00) % 114.38/81.60 | % 114.38/81.60 +-Applying beta-rule and splitting (501), into two cases. % 114.38/81.60 |-Branch one: % 114.38/81.60 | (1370) xm = xn % 114.38/81.60 | % 114.38/81.60 | Combining equations (1370,1336) yields a new equation: % 114.38/81.60 | (1378) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Simplifying 1378 yields: % 114.38/81.60 | (1379) xn = sz00 % 114.38/81.60 | % 114.38/81.60 | Equations (1379) can reduce 1365 to: % 114.38/81.60 | (174) $false % 114.38/81.60 | % 114.38/81.60 |-The branch is then unsatisfiable % 114.38/81.60 |-Branch two: % 114.38/81.60 | (1426) ~ (xm = xn) % 114.38/81.61 | (1446) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 114.38/81.61 | % 114.38/81.61 | Instantiating (1446) with all_572_0_1636, all_572_1_1637 yields: % 114.38/81.61 | (3745) ~ (all_572_0_1636 = all_572_1_1637) & sdtpldt0(sz10, xm) = all_572_1_1637 & sdtpldt0(sz10, xn) = all_572_0_1636 % 114.38/81.61 | % 114.38/81.61 | Applying alpha-rule on (3745) yields: % 114.38/81.61 | (3746) ~ (all_572_0_1636 = all_572_1_1637) % 114.38/81.61 | (3747) sdtpldt0(sz10, xm) = all_572_1_1637 % 114.38/81.61 | (3748) sdtpldt0(sz10, xn) = all_572_0_1636 % 114.38/81.61 | % 114.38/81.61 | From (1336) and (3747) follows: % 114.38/81.61 | (3749) sdtpldt0(sz10, sz00) = all_572_1_1637 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (87) with all_52_0_18, all_102_2_49 and discharging atoms sdtpldt0(all_102_2_49, all_52_0_18) = sz00, aNaturalNumber0(all_102_2_49), aNaturalNumber0(all_52_0_18), yields: % 114.38/81.61 | (2293) all_102_2_49 = sz00 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (16) with sz10, sz00, all_506_0_1614, all_572_1_1637 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_1637, sdtpldt0(sz10, sz00) = all_506_0_1614, yields: % 114.38/81.61 | (3751) all_572_1_1637 = all_506_0_1614 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (16) with sz10, sz00, all_494_1_1611, all_506_0_1614 and discharging atoms sdtpldt0(sz10, sz00) = all_506_0_1614, sdtpldt0(sz10, sz00) = all_494_1_1611, yields: % 114.38/81.61 | (3752) all_506_0_1614 = all_494_1_1611 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (26) with all_494_1_1611, sz10 and discharging atoms sdtpldt0(sz10, sz00) = all_494_1_1611, aNaturalNumber0(sz10), yields: % 114.38/81.61 | (3753) all_494_1_1611 = sz10 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (16) with sz10, sz00, all_476_1_1605, all_572_1_1637 and discharging atoms sdtpldt0(sz10, sz00) = all_572_1_1637, sdtpldt0(sz10, sz00) = all_476_1_1605, yields: % 114.38/81.61 | (3754) all_572_1_1637 = all_476_1_1605 % 114.38/81.61 | % 114.38/81.61 | Instantiating formula (16) with sz10, sz00, all_102_2_49, all_494_1_1611 and discharging atoms sdtpldt0(sz10, sz00) = all_494_1_1611, sdtpldt0(sz10, sz00) = all_102_2_49, yields: % 114.38/81.61 | (3755) all_494_1_1611 = all_102_2_49 % 114.38/81.61 | % 114.38/81.61 | Combining equations (3751,3754) yields a new equation: % 114.38/81.61 | (3756) all_506_0_1614 = all_476_1_1605 % 114.38/81.61 | % 114.38/81.61 | Simplifying 3756 yields: % 114.38/81.61 | (3757) all_506_0_1614 = all_476_1_1605 % 114.38/81.61 | % 114.38/81.61 | Combining equations (3752,3757) yields a new equation: % 114.38/81.61 | (3758) all_494_1_1611 = all_476_1_1605 % 114.38/81.61 | % 114.38/81.61 | Simplifying 3758 yields: % 114.38/81.61 | (3759) all_494_1_1611 = all_476_1_1605 % 114.38/81.61 | % 114.38/81.61 | Combining equations (3755,3759) yields a new equation: % 114.38/81.61 | (3760) all_476_1_1605 = all_102_2_49 % 114.38/81.61 | % 114.38/81.61 | Combining equations (3753,3759) yields a new equation: % 114.38/81.61 | (3761) all_476_1_1605 = sz10 % 114.38/81.61 | % 114.38/81.61 | Combining equations (3760,3761) yields a new equation: % 114.38/81.61 | (3179) all_102_2_49 = sz10 % 114.38/81.61 | % 114.38/81.61 | Simplifying 3179 yields: % 114.38/81.61 | (2388) all_102_2_49 = sz10 % 114.38/81.61 | % 114.38/81.61 | Combining equations (2293,2388) yields a new equation: % 114.38/81.61 | (1337) sz10 = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1337) can reduce 88 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (194), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1336) xm = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1336) can reduce 1339 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (1302), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1336) xm = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1336) can reduce 1339 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (1361) xp = xn % 114.38/81.61 | % 114.38/81.61 | From (1361) and (1330) follows: % 114.38/81.61 | (1329) sdtlseqdt0(xn, sz00) % 114.38/81.61 | % 114.38/81.61 | Using (1329) and (3619) yields: % 114.38/81.61 | (1719) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (3604) ~ sdtlseqdt0(xp, sz00) % 114.38/81.61 | (3605) sdtlseqdt0(sz00, xp) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (125), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1750) sdtlseqdt0(all_0_0_0, xr) % 114.38/81.61 | % 114.38/81.61 | From (1287)(310) and (1750) follows: % 114.38/81.61 | (1751) sdtlseqdt0(xm, xn) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (147), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1379) xn = sz00 % 114.38/81.61 | % 114.38/81.61 | From (1379) and (9) follows: % 114.38/81.61 | (1330) sdtlseqdt0(xp, sz00) % 114.38/81.61 | % 114.38/81.61 | Using (1330) and (3604) yields: % 114.38/81.61 | (1719) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1365) ~ (xn = sz00) % 114.38/81.61 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (1021), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1379) xn = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1379) can reduce 1365 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1365) ~ (xn = sz00) % 114.38/81.61 | (1415) all_146_0_54 = xm % 114.38/81.61 | % 114.38/81.61 | From (1415) and (600) follows: % 114.38/81.61 | (107) aNaturalNumber0(xm) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (137), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1336) xm = sz00 % 114.38/81.61 | % 114.38/81.61 | From (1336) and (479) follows: % 114.38/81.61 | (1330) sdtlseqdt0(xp, sz00) % 114.38/81.61 | % 114.38/81.61 | Using (1330) and (3604) yields: % 114.38/81.61 | (1719) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (194), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1336) xm = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1336) can reduce 1339 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.38/81.61 | % 114.38/81.61 +-Applying beta-rule and splitting (1302), into two cases. % 114.38/81.61 |-Branch one: % 114.38/81.61 | (1336) xm = sz00 % 114.38/81.61 | % 114.38/81.61 | Equations (1336) can reduce 1339 to: % 114.38/81.61 | (174) $false % 114.38/81.61 | % 114.38/81.61 |-The branch is then unsatisfiable % 114.38/81.61 |-Branch two: % 114.38/81.61 | (1339) ~ (xm = sz00) % 114.38/81.61 | (1361) xp = xn % 114.38/81.61 | % 114.38/81.61 | Equations (1361) can reduce 18 to: % 114.38/81.61 | (1364) ~ (xn = sz10) % 114.38/81.61 | % 114.38/81.61 | From (1361) and (451) follows: % 114.38/81.62 | (2641) sdtpldt0(xm, xn) = xm % 114.38/81.62 | % 114.38/81.62 | From (1361) and (540) follows: % 114.38/81.62 | (252) sdtlseqdt0(xn, all_0_4_4) % 114.38/81.62 | % 114.38/81.62 | From (1361) and (479) follows: % 114.38/81.62 | (2643) sdtlseqdt0(xn, xm) % 114.38/81.62 | % 114.38/81.62 | From (1361) and (3604) follows: % 114.38/81.62 | (3619) ~ sdtlseqdt0(xn, sz00) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (490), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.38/81.62 | % 114.38/81.62 | Instantiating (1529) with all_484_0_1978, all_484_1_1979 yields: % 114.38/81.62 | (3814) ~ (all_484_0_1978 = all_0_4_4) & ~ (all_484_1_1979 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_1979 & sdtpldt0(sz10, xm) = all_484_0_1978 % 114.38/81.62 | % 114.38/81.62 | Applying alpha-rule on (3814) yields: % 114.38/81.62 | (3815) ~ (all_484_0_1978 = all_0_4_4) % 114.38/81.62 | (3816) ~ (all_484_1_1979 = all_102_2_49) % 114.38/81.62 | (3817) sdtpldt0(xm, xn) = all_484_1_1979 % 114.38/81.62 | (3818) sdtpldt0(sz10, xm) = all_484_0_1978 % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (542), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (550), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (549), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 114.38/81.62 | % 114.38/81.62 | Instantiating (1468) with all_501_0_1986, all_501_1_1987, all_501_2_1988 yields: % 114.38/81.62 | (3831) ~ (all_501_0_1986 = all_102_1_48) & ~ (all_501_1_1987 = all_501_2_1988) & sdtpldt0(xm, xn) = all_501_1_1987 & sdtpldt0(xm, sz10) = all_501_2_1988 & sdtpldt0(xn, xm) = all_501_0_1986 & sdtlseqdt0(all_501_2_1988, all_501_1_1987) & sdtlseqdt0(all_102_1_48, all_501_0_1986) % 114.38/81.62 | % 114.38/81.62 | Applying alpha-rule on (3831) yields: % 114.38/81.62 | (3832) sdtpldt0(xm, xn) = all_501_1_1987 % 114.38/81.62 | (3833) sdtlseqdt0(all_501_2_1988, all_501_1_1987) % 114.38/81.62 | (3834) sdtpldt0(xm, sz10) = all_501_2_1988 % 114.38/81.62 | (3835) ~ (all_501_0_1986 = all_102_1_48) % 114.38/81.62 | (3836) ~ (all_501_1_1987 = all_501_2_1988) % 114.38/81.62 | (3837) sdtlseqdt0(all_102_1_48, all_501_0_1986) % 114.38/81.62 | (3838) sdtpldt0(xn, xm) = all_501_0_1986 % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (488), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (534), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (2697) all_0_4_4 = xm % 114.38/81.62 | % 114.38/81.62 | From (2697) and (252) follows: % 114.38/81.62 | (2643) sdtlseqdt0(xn, xm) % 114.38/81.62 | % 114.38/81.62 | From (2697) and (144) follows: % 114.38/81.62 | (107) aNaturalNumber0(xm) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (1018), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1336) xm = sz00 % 114.38/81.62 | % 114.38/81.62 | Equations (1336) can reduce 1339 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1339) ~ (xm = sz00) % 114.38/81.62 | (1712) all_212_0_127 = xn % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (1300), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1336) xm = sz00 % 114.38/81.62 | % 114.38/81.62 | Equations (1336) can reduce 1339 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1339) ~ (xm = sz00) % 114.38/81.62 | (1477) all_214_0_128 = xn % 114.38/81.62 | % 114.38/81.62 | From (1477) and (725) follows: % 114.38/81.62 | (113) aNaturalNumber0(xn) % 114.38/81.62 | % 114.38/81.62 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 114.38/81.62 | (1370) xm = xn % 114.38/81.62 | % 114.38/81.62 | From (1370) and (1326) follows: % 114.38/81.62 | (1329) sdtlseqdt0(xn, sz00) % 114.38/81.62 | % 114.38/81.62 | Using (1329) and (3619) yields: % 114.38/81.62 | (1719) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.62 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 114.38/81.62 | % 114.38/81.62 | Instantiating (2889) with all_513_0_2018, all_513_1_2019, all_513_2_2020 yields: % 114.38/81.62 | (3860) ~ (all_513_0_2018 = all_513_1_2019) & ~ (all_513_2_2020 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_2018 & sdtpldt0(xm, xn) = all_513_1_2019 & sdtpldt0(xn, all_0_4_4) = all_513_2_2020 & sdtlseqdt0(all_513_1_2019, all_513_0_2018) & sdtlseqdt0(all_0_4_4, all_513_2_2020) % 114.38/81.62 | % 114.38/81.62 | Applying alpha-rule on (3860) yields: % 114.38/81.62 | (3861) sdtpldt0(xn, all_0_4_4) = all_513_2_2020 % 114.38/81.62 | (3862) sdtlseqdt0(all_513_1_2019, all_513_0_2018) % 114.38/81.62 | (3863) sdtpldt0(xm, xn) = all_513_1_2019 % 114.38/81.62 | (3864) sdtlseqdt0(all_0_4_4, all_513_2_2020) % 114.38/81.62 | (3865) ~ (all_513_2_2020 = all_0_4_4) % 114.38/81.62 | (3866) sdtpldt0(all_0_4_4, xn) = all_513_0_2018 % 114.38/81.62 | (3867) ~ (all_513_0_2018 = all_513_1_2019) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (551), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (1018), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1336) xm = sz00 % 114.38/81.62 | % 114.38/81.62 | Equations (1336) can reduce 1339 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1339) ~ (xm = sz00) % 114.38/81.62 | (1712) all_212_0_127 = xn % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (583), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.62 | (1364) ~ (xn = sz10) % 114.38/81.62 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.38/81.62 | % 114.38/81.62 +-Applying beta-rule and splitting (545), into two cases. % 114.38/81.62 |-Branch one: % 114.38/81.62 | (1372) xn = sz10 % 114.38/81.62 | % 114.38/81.62 | Equations (1372) can reduce 1364 to: % 114.38/81.62 | (174) $false % 114.38/81.62 | % 114.38/81.62 |-The branch is then unsatisfiable % 114.38/81.62 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.38/81.63 | % 114.38/81.63 | Instantiating (1587) with all_535_0_2027, all_535_1_2028, all_535_2_2029 yields: % 114.38/81.63 | (3884) ~ (all_535_0_2027 = all_535_1_2028) & ~ (all_535_2_2029 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_2029 & sdtpldt0(xn, xm) = all_535_0_2027 & sdtpldt0(sz10, xm) = all_535_1_2028 & sdtlseqdt0(all_535_1_2028, all_535_0_2027) & sdtlseqdt0(all_102_2_49, all_535_2_2029) % 114.38/81.63 | % 114.38/81.63 | Applying alpha-rule on (3884) yields: % 114.38/81.63 | (3885) sdtpldt0(xn, xm) = all_535_0_2027 % 114.38/81.63 | (3886) sdtpldt0(sz10, xm) = all_535_1_2028 % 114.38/81.63 | (3887) sdtlseqdt0(all_535_1_2028, all_535_0_2027) % 114.38/81.63 | (3888) ~ (all_535_2_2029 = all_102_2_49) % 114.38/81.63 | (3889) sdtpldt0(xm, xn) = all_535_2_2029 % 114.38/81.63 | (3890) ~ (all_535_0_2027 = all_535_1_2028) % 114.38/81.63 | (3891) sdtlseqdt0(all_102_2_49, all_535_2_2029) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (533), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (516), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (547), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1372) xn = sz10 % 114.38/81.63 | % 114.38/81.63 | Equations (1372) can reduce 1364 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (511), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1372) xn = sz10 % 114.38/81.63 | % 114.38/81.63 | Equations (1372) can reduce 1364 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 114.38/81.63 | % 114.38/81.63 | Instantiating (1576) with all_559_0_2038, all_559_1_2039 yields: % 114.38/81.63 | (3908) ~ (all_559_0_2038 = all_559_1_2039) & sdtpldt0(xm, xn) = all_559_1_2039 & sdtpldt0(xm, sz10) = all_559_0_2038 % 114.38/81.63 | % 114.38/81.63 | Applying alpha-rule on (3908) yields: % 114.38/81.63 | (3909) ~ (all_559_0_2038 = all_559_1_2039) % 114.38/81.63 | (3910) sdtpldt0(xm, xn) = all_559_1_2039 % 114.38/81.63 | (3911) sdtpldt0(xm, sz10) = all_559_0_2038 % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (491), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (535), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (548), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1372) xn = sz10 % 114.38/81.63 | % 114.38/81.63 | Equations (1372) can reduce 1364 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (544), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1372) xn = sz10 % 114.38/81.63 | % 114.38/81.63 | Equations (1372) can reduce 1364 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (536), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (509), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1372) xn = sz10 % 114.38/81.63 | % 114.38/81.63 | Equations (1372) can reduce 1364 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1364) ~ (xn = sz10) % 114.38/81.63 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (1017), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (1739) all_0_0_0 = sz00 % 114.38/81.63 | % 114.38/81.63 | Combining equations (1287,1739) yields a new equation: % 114.38/81.63 | (2967) xm = sz00 % 114.38/81.63 | % 114.38/81.63 | Simplifying 2967 yields: % 114.38/81.63 | (1336) xm = sz00 % 114.38/81.63 | % 114.38/81.63 | Equations (1336) can reduce 1339 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (1742) ~ (all_0_0_0 = sz00) % 114.38/81.63 | (2971) all_214_0_128 = xp % 114.38/81.63 | % 114.38/81.63 | Combining equations (1361,2971) yields a new equation: % 114.38/81.63 | (1477) all_214_0_128 = xn % 114.38/81.63 | % 114.38/81.63 | From (1477) and (725) follows: % 114.38/81.63 | (113) aNaturalNumber0(xn) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (515), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (507), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.63 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.63 | % 114.38/81.63 +-Applying beta-rule and splitting (538), into two cases. % 114.38/81.63 |-Branch one: % 114.38/81.63 | (2697) all_0_4_4 = xm % 114.38/81.63 | % 114.38/81.63 | Equations (2697) can reduce 2888 to: % 114.38/81.63 | (174) $false % 114.38/81.63 | % 114.38/81.63 |-The branch is then unsatisfiable % 114.38/81.63 |-Branch two: % 114.38/81.63 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.64 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 114.38/81.64 | % 114.38/81.64 +-Applying beta-rule and splitting (510), into two cases. % 114.38/81.64 |-Branch one: % 114.38/81.64 | (1372) xn = sz10 % 114.38/81.64 | % 114.38/81.64 | Equations (1372) can reduce 1364 to: % 114.38/81.64 | (174) $false % 114.38/81.64 | % 114.38/81.64 |-The branch is then unsatisfiable % 114.38/81.64 |-Branch two: % 114.38/81.64 | (1364) ~ (xn = sz10) % 114.38/81.64 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 114.38/81.64 | % 114.38/81.64 | Instantiating (1490) with all_623_0_2063, all_623_1_2064 yields: % 114.38/81.64 | (3960) ~ (all_623_0_2063 = all_623_1_2064) & sdtpldt0(xm, xn) = all_623_0_2063 & sdtpldt0(xm, sz10) = all_623_1_2064 % 114.38/81.64 | % 114.38/81.64 | Applying alpha-rule on (3960) yields: % 114.38/81.64 | (3961) ~ (all_623_0_2063 = all_623_1_2064) % 114.38/81.64 | (3962) sdtpldt0(xm, xn) = all_623_0_2063 % 114.38/81.64 | (3963) sdtpldt0(xm, sz10) = all_623_1_2064 % 114.38/81.64 | % 114.38/81.64 +-Applying beta-rule and splitting (543), into two cases. % 114.38/81.64 |-Branch one: % 114.38/81.64 | (1372) xn = sz10 % 114.38/81.64 | % 114.38/81.64 | Equations (1372) can reduce 1364 to: % 114.38/81.64 | (174) $false % 114.38/81.64 | % 114.38/81.64 |-The branch is then unsatisfiable % 114.38/81.64 |-Branch two: % 114.38/81.64 | (1364) ~ (xn = sz10) % 114.38/81.64 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.38/81.64 | % 114.38/81.64 | Instantiating (1421) with all_633_0_2065, all_633_1_2066, all_633_2_2067 yields: % 114.38/81.64 | (3968) ~ (all_633_0_2065 = all_0_4_4) & ~ (all_633_1_2066 = all_633_2_2067) & sdtpldt0(xm, xn) = all_633_1_2066 & sdtpldt0(xm, sz10) = all_633_2_2067 & sdtpldt0(sz10, xm) = all_633_0_2065 & sdtlseqdt0(all_633_0_2065, all_0_4_4) & sdtlseqdt0(all_633_2_2067, all_633_1_2066) % 114.38/81.64 | % 114.38/81.64 | Applying alpha-rule on (3968) yields: % 114.38/81.64 | (3969) ~ (all_633_0_2065 = all_0_4_4) % 114.38/81.64 | (3970) sdtpldt0(sz10, xm) = all_633_0_2065 % 114.38/81.64 | (3971) sdtpldt0(xm, sz10) = all_633_2_2067 % 114.38/81.64 | (3972) sdtlseqdt0(all_633_0_2065, all_0_4_4) % 114.38/81.64 | (3973) sdtlseqdt0(all_633_2_2067, all_633_1_2066) % 114.38/81.64 | (3974) ~ (all_633_1_2066 = all_633_2_2067) % 114.38/81.64 | (3975) sdtpldt0(xm, xn) = all_633_1_2066 % 114.38/81.64 | % 114.38/81.64 +-Applying beta-rule and splitting (512), into two cases. % 114.38/81.64 |-Branch one: % 114.38/81.64 | (2697) all_0_4_4 = xm % 114.38/81.64 | % 114.38/81.64 | Equations (2697) can reduce 2888 to: % 114.38/81.64 | (174) $false % 114.38/81.64 | % 114.38/81.64 |-The branch is then unsatisfiable % 114.38/81.64 |-Branch two: % 114.38/81.64 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.64 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 114.38/81.64 | % 114.38/81.64 +-Applying beta-rule and splitting (537), into two cases. % 114.38/81.64 |-Branch one: % 114.38/81.64 | (2697) all_0_4_4 = xm % 114.38/81.64 | % 114.38/81.64 | Equations (2697) can reduce 2888 to: % 114.38/81.64 | (174) $false % 114.38/81.64 | % 114.38/81.64 |-The branch is then unsatisfiable % 114.38/81.64 |-Branch two: % 114.38/81.64 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.64 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_623_0_2063, all_633_1_2066 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2066, sdtpldt0(xm, xn) = all_623_0_2063, yields: % 114.38/81.64 | (3984) all_633_1_2066 = all_623_0_2063 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_559_1_2039, all_623_0_2063 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2063, sdtpldt0(xm, xn) = all_559_1_2039, yields: % 114.38/81.64 | (3985) all_623_0_2063 = all_559_1_2039 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_535_2_2029, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2029, sdtpldt0(xm, xn) = all_0_4_4, yields: % 114.38/81.64 | (3986) all_535_2_2029 = all_0_4_4 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_535_2_2029, all_559_1_2039 and discharging atoms sdtpldt0(xm, xn) = all_559_1_2039, sdtpldt0(xm, xn) = all_535_2_2029, yields: % 114.38/81.64 | (3987) all_559_1_2039 = all_535_2_2029 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_513_1_2019, all_535_2_2029 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2029, sdtpldt0(xm, xn) = all_513_1_2019, yields: % 114.38/81.64 | (3988) all_535_2_2029 = all_513_1_2019 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_501_1_1987, all_535_2_2029 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2029, sdtpldt0(xm, xn) = all_501_1_1987, yields: % 114.38/81.64 | (3989) all_535_2_2029 = all_501_1_1987 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, all_484_1_1979, all_633_1_2066 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2066, sdtpldt0(xm, xn) = all_484_1_1979, yields: % 114.38/81.64 | (3990) all_633_1_2066 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (16) with xm, xn, xm, all_513_1_2019 and discharging atoms sdtpldt0(xm, xn) = all_513_1_2019, sdtpldt0(xm, xn) = xm, yields: % 114.38/81.64 | (3991) all_513_1_2019 = xm % 114.38/81.64 | % 114.38/81.64 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 114.38/81.64 | (1370) xm = xn % 114.38/81.64 | % 114.38/81.64 | Combining equations (3984,3990) yields a new equation: % 114.38/81.64 | (3993) all_623_0_2063 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Simplifying 3993 yields: % 114.38/81.64 | (3994) all_623_0_2063 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Combining equations (3985,3994) yields a new equation: % 114.38/81.64 | (3995) all_559_1_2039 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Simplifying 3995 yields: % 114.38/81.64 | (3996) all_559_1_2039 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Combining equations (3987,3996) yields a new equation: % 114.38/81.64 | (3997) all_535_2_2029 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Simplifying 3997 yields: % 114.38/81.64 | (3998) all_535_2_2029 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Combining equations (3988,3989) yields a new equation: % 114.38/81.64 | (3999) all_513_1_2019 = all_501_1_1987 % 114.38/81.64 | % 114.38/81.64 | Simplifying 3999 yields: % 114.38/81.64 | (4000) all_513_1_2019 = all_501_1_1987 % 114.38/81.64 | % 114.38/81.64 | Combining equations (3986,3989) yields a new equation: % 114.38/81.64 | (4001) all_501_1_1987 = all_0_4_4 % 114.38/81.64 | % 114.38/81.64 | Combining equations (3998,3989) yields a new equation: % 114.38/81.64 | (4002) all_501_1_1987 = all_484_1_1979 % 114.38/81.64 | % 114.38/81.64 | Combining equations (4000,3991) yields a new equation: % 114.38/81.64 | (4003) all_501_1_1987 = xm % 114.38/81.64 | % 114.38/81.64 | Simplifying 4003 yields: % 114.38/81.64 | (4004) all_501_1_1987 = xm % 114.38/81.64 | % 114.38/81.65 | Combining equations (4004,4002) yields a new equation: % 114.38/81.65 | (4005) all_484_1_1979 = xm % 114.38/81.65 | % 114.38/81.65 | Combining equations (4001,4002) yields a new equation: % 114.38/81.65 | (4006) all_484_1_1979 = all_0_4_4 % 114.38/81.65 | % 114.38/81.65 | Combining equations (4006,4005) yields a new equation: % 114.38/81.65 | (3037) all_0_4_4 = xm % 114.38/81.65 | % 114.38/81.65 | Simplifying 3037 yields: % 114.38/81.65 | (2697) all_0_4_4 = xm % 114.38/81.65 | % 114.38/81.65 | Combining equations (1370,2697) yields a new equation: % 114.38/81.65 | (3039) all_0_4_4 = xn % 114.38/81.65 | % 114.38/81.65 | Equations (3039,1370) can reduce 2888 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (3041) ~ sdtlseqdt0(all_0_0_0, xr) % 114.38/81.65 | (3042) sdtlseqdt0(xr, all_0_0_0) % 114.38/81.65 | % 114.38/81.65 | From (1287)(310) and (3041) follows: % 114.38/81.65 | (3043) ~ sdtlseqdt0(xm, xn) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (137), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1336) xm = sz00 % 114.38/81.65 | % 114.38/81.65 | From (1336) and (479) follows: % 114.38/81.65 | (1330) sdtlseqdt0(xp, sz00) % 114.38/81.65 | % 114.38/81.65 | Using (1330) and (3604) yields: % 114.38/81.65 | (1719) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1339) ~ (xm = sz00) % 114.38/81.65 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (194), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1336) xm = sz00 % 114.38/81.65 | % 114.38/81.65 | Equations (1336) can reduce 1339 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1339) ~ (xm = sz00) % 114.38/81.65 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (1302), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1336) xm = sz00 % 114.38/81.65 | % 114.38/81.65 | Equations (1336) can reduce 1339 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1339) ~ (xm = sz00) % 114.38/81.65 | (1361) xp = xn % 114.38/81.65 | % 114.38/81.65 | Equations (1361) can reduce 18 to: % 114.38/81.65 | (1364) ~ (xn = sz10) % 114.38/81.65 | % 114.38/81.65 | From (1361) and (451) follows: % 114.38/81.65 | (2641) sdtpldt0(xm, xn) = xm % 114.38/81.65 | % 114.38/81.65 | From (1361) and (3605) follows: % 114.38/81.65 | (3623) sdtlseqdt0(sz00, xn) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (490), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1372) xn = sz10 % 114.38/81.65 | % 114.38/81.65 | Equations (1372) can reduce 1364 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1364) ~ (xn = sz10) % 114.38/81.65 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.38/81.65 | % 114.38/81.65 | Instantiating (1529) with all_484_0_2075, all_484_1_2076 yields: % 114.38/81.65 | (4034) ~ (all_484_0_2075 = all_0_4_4) & ~ (all_484_1_2076 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_2076 & sdtpldt0(sz10, xm) = all_484_0_2075 % 114.38/81.65 | % 114.38/81.65 | Applying alpha-rule on (4034) yields: % 114.38/81.65 | (4035) ~ (all_484_0_2075 = all_0_4_4) % 114.38/81.65 | (4036) ~ (all_484_1_2076 = all_102_2_49) % 114.38/81.65 | (4037) sdtpldt0(xm, xn) = all_484_1_2076 % 114.38/81.65 | (4038) sdtpldt0(sz10, xm) = all_484_0_2075 % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (542), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1372) xn = sz10 % 114.38/81.65 | % 114.38/81.65 | Equations (1372) can reduce 1364 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1364) ~ (xn = sz10) % 114.38/81.65 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (550), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1372) xn = sz10 % 114.38/81.65 | % 114.38/81.65 | Equations (1372) can reduce 1364 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.65 | (1364) ~ (xn = sz10) % 114.38/81.65 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 114.38/81.65 | % 114.38/81.65 +-Applying beta-rule and splitting (549), into two cases. % 114.38/81.65 |-Branch one: % 114.38/81.65 | (1372) xn = sz10 % 114.38/81.65 | % 114.38/81.65 | Equations (1372) can reduce 1364 to: % 114.38/81.65 | (174) $false % 114.38/81.65 | % 114.38/81.65 |-The branch is then unsatisfiable % 114.38/81.65 |-Branch two: % 114.38/81.66 | (1364) ~ (xn = sz10) % 114.38/81.66 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 114.38/81.66 | % 114.38/81.66 | Instantiating (1468) with all_501_0_2083, all_501_1_2084, all_501_2_2085 yields: % 114.38/81.66 | (4051) ~ (all_501_0_2083 = all_102_1_48) & ~ (all_501_1_2084 = all_501_2_2085) & sdtpldt0(xm, xn) = all_501_1_2084 & sdtpldt0(xm, sz10) = all_501_2_2085 & sdtpldt0(xn, xm) = all_501_0_2083 & sdtlseqdt0(all_501_2_2085, all_501_1_2084) & sdtlseqdt0(all_102_1_48, all_501_0_2083) % 114.38/81.66 | % 114.38/81.66 | Applying alpha-rule on (4051) yields: % 114.38/81.66 | (4052) sdtpldt0(xn, xm) = all_501_0_2083 % 114.38/81.66 | (4053) sdtlseqdt0(all_501_2_2085, all_501_1_2084) % 114.38/81.66 | (4054) sdtpldt0(xm, xn) = all_501_1_2084 % 114.38/81.66 | (4055) sdtlseqdt0(all_102_1_48, all_501_0_2083) % 114.38/81.66 | (4056) ~ (all_501_0_2083 = all_102_1_48) % 114.38/81.66 | (4057) sdtpldt0(xm, sz10) = all_501_2_2085 % 114.38/81.66 | (4058) ~ (all_501_1_2084 = all_501_2_2085) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (488), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1372) xn = sz10 % 114.38/81.66 | % 114.38/81.66 | Equations (1372) can reduce 1364 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1364) ~ (xn = sz10) % 114.38/81.66 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (534), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (2697) all_0_4_4 = xm % 114.38/81.66 | % 114.38/81.66 | From (2697) and (144) follows: % 114.38/81.66 | (107) aNaturalNumber0(xm) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (1018), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1336) xm = sz00 % 114.38/81.66 | % 114.38/81.66 | Equations (1336) can reduce 1339 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1339) ~ (xm = sz00) % 114.38/81.66 | (1712) all_212_0_127 = xn % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (1300), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1336) xm = sz00 % 114.38/81.66 | % 114.38/81.66 | Equations (1336) can reduce 1339 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1339) ~ (xm = sz00) % 114.38/81.66 | (1477) all_214_0_128 = xn % 114.38/81.66 | % 114.38/81.66 | From (1477) and (725) follows: % 114.38/81.66 | (113) aNaturalNumber0(xn) % 114.38/81.66 | % 114.38/81.66 | Instantiating formula (71) with xn, sz00, xm and discharging atoms sdtlseqdt0(xm, sz00), sdtlseqdt0(sz00, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz00), ~ sdtlseqdt0(xm, xn), yields: % 114.38/81.66 | (1719) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.66 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 114.38/81.66 | % 114.38/81.66 | Instantiating (2889) with all_513_0_2115, all_513_1_2116, all_513_2_2117 yields: % 114.38/81.66 | (4077) ~ (all_513_0_2115 = all_513_1_2116) & ~ (all_513_2_2117 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_2115 & sdtpldt0(xm, xn) = all_513_1_2116 & sdtpldt0(xn, all_0_4_4) = all_513_2_2117 & sdtlseqdt0(all_513_1_2116, all_513_0_2115) & sdtlseqdt0(all_0_4_4, all_513_2_2117) % 114.38/81.66 | % 114.38/81.66 | Applying alpha-rule on (4077) yields: % 114.38/81.66 | (4078) sdtpldt0(xm, xn) = all_513_1_2116 % 114.38/81.66 | (4079) ~ (all_513_0_2115 = all_513_1_2116) % 114.38/81.66 | (4080) sdtpldt0(xn, all_0_4_4) = all_513_2_2117 % 114.38/81.66 | (4081) sdtlseqdt0(all_0_4_4, all_513_2_2117) % 114.38/81.66 | (4082) ~ (all_513_2_2117 = all_0_4_4) % 114.38/81.66 | (4083) sdtpldt0(all_0_4_4, xn) = all_513_0_2115 % 114.38/81.66 | (4084) sdtlseqdt0(all_513_1_2116, all_513_0_2115) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (551), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1372) xn = sz10 % 114.38/81.66 | % 114.38/81.66 | Equations (1372) can reduce 1364 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1364) ~ (xn = sz10) % 114.38/81.66 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (583), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1372) xn = sz10 % 114.38/81.66 | % 114.38/81.66 | Equations (1372) can reduce 1364 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1364) ~ (xn = sz10) % 114.38/81.66 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (545), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1372) xn = sz10 % 114.38/81.66 | % 114.38/81.66 | Equations (1372) can reduce 1364 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (1364) ~ (xn = sz10) % 114.38/81.66 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.38/81.66 | % 114.38/81.66 | Instantiating (1587) with all_535_0_2124, all_535_1_2125, all_535_2_2126 yields: % 114.38/81.66 | (4097) ~ (all_535_0_2124 = all_535_1_2125) & ~ (all_535_2_2126 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_2126 & sdtpldt0(xn, xm) = all_535_0_2124 & sdtpldt0(sz10, xm) = all_535_1_2125 & sdtlseqdt0(all_535_1_2125, all_535_0_2124) & sdtlseqdt0(all_102_2_49, all_535_2_2126) % 114.38/81.66 | % 114.38/81.66 | Applying alpha-rule on (4097) yields: % 114.38/81.66 | (4098) sdtpldt0(xn, xm) = all_535_0_2124 % 114.38/81.66 | (4099) sdtpldt0(xm, xn) = all_535_2_2126 % 114.38/81.66 | (4100) sdtlseqdt0(all_102_2_49, all_535_2_2126) % 114.38/81.66 | (4101) sdtlseqdt0(all_535_1_2125, all_535_0_2124) % 114.38/81.66 | (4102) ~ (all_535_2_2126 = all_102_2_49) % 114.38/81.66 | (4103) sdtpldt0(sz10, xm) = all_535_1_2125 % 114.38/81.66 | (4104) ~ (all_535_0_2124 = all_535_1_2125) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (533), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (2697) all_0_4_4 = xm % 114.38/81.66 | % 114.38/81.66 | Equations (2697) can reduce 2888 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.66 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (516), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (2697) all_0_4_4 = xm % 114.38/81.66 | % 114.38/81.66 | Equations (2697) can reduce 2888 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.66 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.66 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.38/81.66 | % 114.38/81.66 +-Applying beta-rule and splitting (547), into two cases. % 114.38/81.66 |-Branch one: % 114.38/81.66 | (1372) xn = sz10 % 114.38/81.66 | % 114.38/81.66 | Equations (1372) can reduce 1364 to: % 114.38/81.66 | (174) $false % 114.38/81.66 | % 114.38/81.66 |-The branch is then unsatisfiable % 114.38/81.66 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (511), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 114.38/81.67 | % 114.38/81.67 | Instantiating (1576) with all_559_0_2135, all_559_1_2136 yields: % 114.38/81.67 | (4121) ~ (all_559_0_2135 = all_559_1_2136) & sdtpldt0(xm, xn) = all_559_1_2136 & sdtpldt0(xm, sz10) = all_559_0_2135 % 114.38/81.67 | % 114.38/81.67 | Applying alpha-rule on (4121) yields: % 114.38/81.67 | (4122) ~ (all_559_0_2135 = all_559_1_2136) % 114.38/81.67 | (4123) sdtpldt0(xm, xn) = all_559_1_2136 % 114.38/81.67 | (4124) sdtpldt0(xm, sz10) = all_559_0_2135 % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (491), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (535), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (548), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (544), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (536), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (509), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (515), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (507), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (538), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.67 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (510), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 114.38/81.67 | % 114.38/81.67 | Instantiating (1490) with all_623_0_2160, all_623_1_2161 yields: % 114.38/81.67 | (4165) ~ (all_623_0_2160 = all_623_1_2161) & sdtpldt0(xm, xn) = all_623_0_2160 & sdtpldt0(xm, sz10) = all_623_1_2161 % 114.38/81.67 | % 114.38/81.67 | Applying alpha-rule on (4165) yields: % 114.38/81.67 | (4166) ~ (all_623_0_2160 = all_623_1_2161) % 114.38/81.67 | (4167) sdtpldt0(xm, xn) = all_623_0_2160 % 114.38/81.67 | (4168) sdtpldt0(xm, sz10) = all_623_1_2161 % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (543), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (1372) xn = sz10 % 114.38/81.67 | % 114.38/81.67 | Equations (1372) can reduce 1364 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (1364) ~ (xn = sz10) % 114.38/81.67 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.38/81.67 | % 114.38/81.67 | Instantiating (1421) with all_633_0_2162, all_633_1_2163, all_633_2_2164 yields: % 114.38/81.67 | (4173) ~ (all_633_0_2162 = all_0_4_4) & ~ (all_633_1_2163 = all_633_2_2164) & sdtpldt0(xm, xn) = all_633_1_2163 & sdtpldt0(xm, sz10) = all_633_2_2164 & sdtpldt0(sz10, xm) = all_633_0_2162 & sdtlseqdt0(all_633_0_2162, all_0_4_4) & sdtlseqdt0(all_633_2_2164, all_633_1_2163) % 114.38/81.67 | % 114.38/81.67 | Applying alpha-rule on (4173) yields: % 114.38/81.67 | (4174) sdtpldt0(xm, sz10) = all_633_2_2164 % 114.38/81.67 | (4175) ~ (all_633_0_2162 = all_0_4_4) % 114.38/81.67 | (4176) ~ (all_633_1_2163 = all_633_2_2164) % 114.38/81.67 | (4177) sdtlseqdt0(all_633_2_2164, all_633_1_2163) % 114.38/81.67 | (4178) sdtpldt0(xm, xn) = all_633_1_2163 % 114.38/81.67 | (4179) sdtpldt0(sz10, xm) = all_633_0_2162 % 114.38/81.67 | (4180) sdtlseqdt0(all_633_0_2162, all_0_4_4) % 114.38/81.67 | % 114.38/81.67 +-Applying beta-rule and splitting (512), into two cases. % 114.38/81.67 |-Branch one: % 114.38/81.67 | (2697) all_0_4_4 = xm % 114.38/81.67 | % 114.38/81.67 | Equations (2697) can reduce 2888 to: % 114.38/81.67 | (174) $false % 114.38/81.67 | % 114.38/81.67 |-The branch is then unsatisfiable % 114.38/81.67 |-Branch two: % 114.38/81.67 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.68 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 114.38/81.68 | % 114.38/81.68 +-Applying beta-rule and splitting (537), into two cases. % 114.38/81.68 |-Branch one: % 114.38/81.68 | (2697) all_0_4_4 = xm % 114.38/81.68 | % 114.38/81.68 | Equations (2697) can reduce 2888 to: % 114.38/81.68 | (174) $false % 114.38/81.68 | % 114.38/81.68 |-The branch is then unsatisfiable % 114.38/81.68 |-Branch two: % 114.38/81.68 | (2888) ~ (all_0_4_4 = xm) % 114.38/81.68 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_623_0_2160, all_633_1_2163 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2163, sdtpldt0(xm, xn) = all_623_0_2160, yields: % 114.38/81.68 | (4189) all_633_1_2163 = all_623_0_2160 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_559_1_2136, all_633_1_2163 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2163, sdtpldt0(xm, xn) = all_559_1_2136, yields: % 114.38/81.68 | (4190) all_633_1_2163 = all_559_1_2136 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_535_2_2126, all_623_0_2160 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2160, sdtpldt0(xm, xn) = all_535_2_2126, yields: % 114.38/81.68 | (4191) all_623_0_2160 = all_535_2_2126 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_513_1_2116, all_623_0_2160 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2160, sdtpldt0(xm, xn) = all_513_1_2116, yields: % 114.38/81.68 | (4192) all_623_0_2160 = all_513_1_2116 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_501_1_2084, all_623_0_2160 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2160, sdtpldt0(xm, xn) = all_501_1_2084, yields: % 114.38/81.68 | (4193) all_623_0_2160 = all_501_1_2084 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_484_1_2076, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_2076, sdtpldt0(xm, xn) = all_0_4_4, yields: % 114.38/81.68 | (4194) all_484_1_2076 = all_0_4_4 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, all_484_1_2076, all_623_0_2160 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2160, sdtpldt0(xm, xn) = all_484_1_2076, yields: % 114.38/81.68 | (4195) all_623_0_2160 = all_484_1_2076 % 114.38/81.68 | % 114.38/81.68 | Instantiating formula (16) with xm, xn, xm, all_623_0_2160 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2160, sdtpldt0(xm, xn) = xm, yields: % 114.38/81.68 | (4196) all_623_0_2160 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4189,4190) yields a new equation: % 114.38/81.68 | (4197) all_623_0_2160 = all_559_1_2136 % 114.38/81.68 | % 114.38/81.68 | Simplifying 4197 yields: % 114.38/81.68 | (4198) all_623_0_2160 = all_559_1_2136 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4192,4198) yields a new equation: % 114.38/81.68 | (4199) all_559_1_2136 = all_513_1_2116 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4195,4198) yields a new equation: % 114.38/81.68 | (4200) all_559_1_2136 = all_484_1_2076 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4191,4198) yields a new equation: % 114.38/81.68 | (4201) all_559_1_2136 = all_535_2_2126 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4196,4198) yields a new equation: % 114.38/81.68 | (4202) all_559_1_2136 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4193,4198) yields a new equation: % 114.38/81.68 | (4203) all_559_1_2136 = all_501_1_2084 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4200,4201) yields a new equation: % 114.38/81.68 | (4204) all_535_2_2126 = all_484_1_2076 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4199,4201) yields a new equation: % 114.38/81.68 | (4205) all_535_2_2126 = all_513_1_2116 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4202,4201) yields a new equation: % 114.38/81.68 | (4206) all_535_2_2126 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4203,4201) yields a new equation: % 114.38/81.68 | (4207) all_535_2_2126 = all_501_1_2084 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4206,4205) yields a new equation: % 114.38/81.68 | (4208) all_513_1_2116 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4204,4205) yields a new equation: % 114.38/81.68 | (4209) all_513_1_2116 = all_484_1_2076 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4207,4205) yields a new equation: % 114.38/81.68 | (4210) all_513_1_2116 = all_501_1_2084 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4208,4210) yields a new equation: % 114.38/81.68 | (4211) all_501_1_2084 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4209,4210) yields a new equation: % 114.38/81.68 | (4212) all_501_1_2084 = all_484_1_2076 % 114.38/81.68 | % 114.38/81.68 | Combining equations (4212,4211) yields a new equation: % 114.38/81.68 | (4213) all_484_1_2076 = xm % 114.38/81.68 | % 114.38/81.68 | Simplifying 4213 yields: % 114.38/81.68 | (4214) all_484_1_2076 = xm % 114.38/81.68 | % 114.38/81.68 | Combining equations (4214,4194) yields a new equation: % 114.38/81.68 | (2697) all_0_4_4 = xm % 114.38/81.68 | % 114.38/81.68 | Equations (2697) can reduce 2888 to: % 114.38/81.68 | (174) $false % 114.38/81.68 | % 114.38/81.68 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1723) ~ sdtlseqdt0(sz10, sz00) % 114.38/81.69 | (4218) sdtlseqdt0(sz00, sz10) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (148), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1331) sdtlseqdt0(xm, sz10) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (123), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1332) sdtlseqdt0(sz10, all_0_0_0) % 114.38/81.69 | % 114.38/81.69 | From (1287) and (1332) follows: % 114.38/81.69 | (1333) sdtlseqdt0(sz10, xm) % 114.38/81.69 | % 114.38/81.69 | Instantiating formula (2) with xm, sz10 and discharging atoms sdtlseqdt0(xm, sz10), sdtlseqdt0(sz10, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 114.38/81.69 | (1334) xm = sz10 % 114.38/81.69 | % 114.38/81.69 | From (1334) and (1326) follows: % 114.38/81.69 | (1327) sdtlseqdt0(sz10, sz00) % 114.38/81.69 | % 114.38/81.69 | Using (1327) and (1723) yields: % 114.38/81.69 | (1719) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1715) ~ sdtlseqdt0(sz10, all_0_0_0) % 114.38/81.69 | (1716) all_0_0_0 = sz10 | all_0_0_0 = sz00 % 114.38/81.69 | % 114.38/81.69 | From (1287) and (1715) follows: % 114.38/81.69 | (1717) ~ sdtlseqdt0(sz10, xm) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (136), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1333) sdtlseqdt0(sz10, xm) % 114.38/81.69 | % 114.38/81.69 | Using (1333) and (1717) yields: % 114.38/81.69 | (1719) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1717) ~ sdtlseqdt0(sz10, xm) % 114.38/81.69 | (1721) xm = sz10 | xm = sz00 % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (205), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1336) xm = sz00 % 114.38/81.69 | % 114.38/81.69 | From (1336) and (1172) follows: % 114.38/81.69 | (1762) sdtpldt0(all_102_2_49, all_52_0_18) = sz00 % 114.38/81.69 | % 114.38/81.69 | From (1336) and (376) follows: % 114.38/81.69 | (1763) sdtpldt0(sz00, sz10) = all_102_2_49 % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (495), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1368) xp = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1336,1368) yields a new equation: % 114.38/81.69 | (173) xp = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (173) can reduce 37 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1374) ~ (xp = xm) % 114.38/81.69 | (1544) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = xn) & sdtpldt0(xp, xn) = v1 & sdtpldt0(xn, xm) = v0) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1374 to: % 114.38/81.69 | (37) ~ (xp = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (216), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1368) xp = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1336,1368) yields a new equation: % 114.38/81.69 | (173) xp = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (173) can reduce 37 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1374) ~ (xp = xm) % 114.38/81.69 | (1375) ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_17_0_11) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xm, xr) = v1) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1374 to: % 114.38/81.69 | (37) ~ (xp = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (519), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1334) xm = sz10 % 114.38/81.69 | % 114.38/81.69 | Combining equations (1334,1336) yields a new equation: % 114.38/81.69 | (1793) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Simplifying 1793 yields: % 114.38/81.69 | (1337) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (1337) can reduce 88 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1768) ~ (xm = sz10) % 114.38/81.69 | (2022) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(xn, sz10) = v1) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1768 to: % 114.38/81.69 | (1775) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 | Simplifying 1775 yields: % 114.38/81.69 | (88) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (520), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1334) xm = sz10 % 114.38/81.69 | % 114.38/81.69 | Combining equations (1334,1336) yields a new equation: % 114.38/81.69 | (1793) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Simplifying 1793 yields: % 114.38/81.69 | (1337) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (1337) can reduce 88 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1768) ~ (xm = sz10) % 114.38/81.69 | (1769) ? [v0] : ? [v1] : ( ~ (v1 = all_83_0_38) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, sz10) = v0) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1768 to: % 114.38/81.69 | (1775) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 | Simplifying 1775 yields: % 114.38/81.69 | (88) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (218), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1368) xp = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1336,1368) yields a new equation: % 114.38/81.69 | (173) xp = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (173) can reduce 37 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1374) ~ (xp = xm) % 114.38/81.69 | (1524) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v0 & sdtpldt0(xm, xr) = v1) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1374 to: % 114.38/81.69 | (37) ~ (xp = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (480), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1368) xp = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1336,1368) yields a new equation: % 114.38/81.69 | (173) xp = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (173) can reduce 37 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1374) ~ (xp = xm) % 114.38/81.69 | (1563) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xm) = v0) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1374 to: % 114.38/81.69 | (37) ~ (xp = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (518), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1334) xm = sz10 % 114.38/81.69 | % 114.38/81.69 | Combining equations (1334,1336) yields a new equation: % 114.38/81.69 | (1793) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Simplifying 1793 yields: % 114.38/81.69 | (1337) sz10 = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (1337) can reduce 88 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1768) ~ (xm = sz10) % 114.38/81.69 | (2259) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz10) = v0) % 114.38/81.69 | % 114.38/81.69 | Equations (1336) can reduce 1768 to: % 114.38/81.69 | (1775) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 | Simplifying 1775 yields: % 114.38/81.69 | (88) ~ (sz10 = sz00) % 114.38/81.69 | % 114.38/81.69 +-Applying beta-rule and splitting (563), into two cases. % 114.38/81.69 |-Branch one: % 114.38/81.69 | (1434) all_54_0_19 = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1200,1434) yields a new equation: % 114.38/81.69 | (1838) xp = xm % 114.38/81.69 | % 114.38/81.69 | Simplifying 1838 yields: % 114.38/81.69 | (1368) xp = xm % 114.38/81.69 | % 114.38/81.69 | Combining equations (1336,1368) yields a new equation: % 114.38/81.69 | (173) xp = sz00 % 114.38/81.69 | % 114.38/81.69 | Equations (173) can reduce 37 to: % 114.38/81.69 | (174) $false % 114.38/81.69 | % 114.38/81.69 |-The branch is then unsatisfiable % 114.38/81.69 |-Branch two: % 114.38/81.69 | (1438) ~ (all_54_0_19 = xm) % 114.38/81.69 | (1439) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.38/81.69 | % 114.38/81.69 | Instantiating (1439) with all_577_0_2282, all_577_1_2283 yields: % 114.38/81.69 | (4290) ~ (all_577_0_2282 = all_577_1_2283) & sdtpldt0(all_54_0_19, sz10) = all_577_0_2282 & sdtpldt0(xm, sz10) = all_577_1_2283 % 114.38/81.69 | % 114.38/81.69 | Applying alpha-rule on (4290) yields: % 114.38/81.69 | (4291) ~ (all_577_0_2282 = all_577_1_2283) % 114.38/81.69 | (4292) sdtpldt0(all_54_0_19, sz10) = all_577_0_2282 % 114.38/81.69 | (4293) sdtpldt0(xm, sz10) = all_577_1_2283 % 114.38/81.69 | % 114.38/81.69 | Equations (1200,1336) can reduce 1438 to: % 114.38/81.69 | (37) ~ (xp = sz00) % 114.38/81.69 | % 114.38/81.69 | From (1336) and (4293) follows: % 114.38/81.70 | (4295) sdtpldt0(sz00, sz10) = all_577_1_2283 % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (217), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1368) xp = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1336,1368) yields a new equation: % 114.38/81.70 | (173) xp = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (173) can reduce 37 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1374) ~ (xp = xm) % 114.38/81.70 | (1406) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v1 & sdtpldt0(xm, xr) = v0) % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1374 to: % 114.38/81.70 | (37) ~ (xp = sz00) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (557), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1434) all_54_0_19 = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1200,1434) yields a new equation: % 114.38/81.70 | (1838) xp = xm % 114.38/81.70 | % 114.38/81.70 | Simplifying 1838 yields: % 114.38/81.70 | (1368) xp = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1336,1368) yields a new equation: % 114.38/81.70 | (173) xp = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (173) can reduce 37 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1438) ~ (all_54_0_19 = xm) % 114.38/81.70 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.38/81.70 | % 114.38/81.70 | Equations (1200,1336) can reduce 1438 to: % 114.38/81.70 | (37) ~ (xp = sz00) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (481), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1368) xp = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1336,1368) yields a new equation: % 114.38/81.70 | (173) xp = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (173) can reduce 37 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1374) ~ (xp = xm) % 114.38/81.70 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1374 to: % 114.38/81.70 | (37) ~ (xp = sz00) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (569), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1434) all_54_0_19 = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1200,1434) yields a new equation: % 114.38/81.70 | (1838) xp = xm % 114.38/81.70 | % 114.38/81.70 | Simplifying 1838 yields: % 114.38/81.70 | (1368) xp = xm % 114.38/81.70 | % 114.38/81.70 | Combining equations (1336,1368) yields a new equation: % 114.38/81.70 | (173) xp = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (173) can reduce 37 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1438) ~ (all_54_0_19 = xm) % 114.38/81.70 | (1516) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.38/81.70 | % 114.38/81.70 | Instantiating (1516) with all_607_0_2293, all_607_1_2294 yields: % 114.38/81.70 | (4323) ~ (all_607_0_2293 = all_607_1_2294) & sdtpldt0(all_54_0_19, sz10) = all_607_1_2294 & sdtpldt0(xm, sz10) = all_607_0_2293 % 114.38/81.70 | % 114.38/81.70 | Applying alpha-rule on (4323) yields: % 114.38/81.70 | (4324) ~ (all_607_0_2293 = all_607_1_2294) % 114.38/81.70 | (4325) sdtpldt0(all_54_0_19, sz10) = all_607_1_2294 % 114.38/81.70 | (4326) sdtpldt0(xm, sz10) = all_607_0_2293 % 114.38/81.70 | % 114.38/81.70 | From (1336) and (4326) follows: % 114.38/81.70 | (4327) sdtpldt0(sz00, sz10) = all_607_0_2293 % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (498), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1334) xm = sz10 % 114.38/81.70 | % 114.38/81.70 | Combining equations (1334,1336) yields a new equation: % 114.38/81.70 | (1793) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Simplifying 1793 yields: % 114.38/81.70 | (1337) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1337) can reduce 88 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1768) ~ (xm = sz10) % 114.38/81.70 | (2196) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(sz10, xn) = v0) % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1768 to: % 114.38/81.70 | (1775) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 | Simplifying 1775 yields: % 114.38/81.70 | (88) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (497), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1334) xm = sz10 % 114.38/81.70 | % 114.38/81.70 | Combining equations (1334,1336) yields a new equation: % 114.38/81.70 | (1793) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Simplifying 1793 yields: % 114.38/81.70 | (1337) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1337) can reduce 88 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1768) ~ (xm = sz10) % 114.38/81.70 | (1885) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1768 to: % 114.38/81.70 | (1775) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 | Simplifying 1775 yields: % 114.38/81.70 | (88) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (499), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1334) xm = sz10 % 114.38/81.70 | % 114.38/81.70 | Combining equations (1334,1336) yields a new equation: % 114.38/81.70 | (1793) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Simplifying 1793 yields: % 114.38/81.70 | (1337) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1337) can reduce 88 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1768) ~ (xm = sz10) % 114.38/81.70 | (2139) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xn) = v1) % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1768 to: % 114.38/81.70 | (1775) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 | Simplifying 1775 yields: % 114.38/81.70 | (88) ~ (sz10 = sz00) % 114.38/81.70 | % 114.38/81.70 | Instantiating formula (87) with all_52_0_18, all_102_2_49 and discharging atoms sdtpldt0(all_102_2_49, all_52_0_18) = sz00, aNaturalNumber0(all_102_2_49), aNaturalNumber0(all_52_0_18), yields: % 114.38/81.70 | (2293) all_102_2_49 = sz00 % 114.38/81.70 | % 114.38/81.70 | Instantiating formula (16) with sz00, sz10, all_577_1_2283, all_607_0_2293 and discharging atoms sdtpldt0(sz00, sz10) = all_607_0_2293, sdtpldt0(sz00, sz10) = all_577_1_2283, yields: % 114.38/81.70 | (4353) all_607_0_2293 = all_577_1_2283 % 114.38/81.70 | % 114.38/81.70 | Instantiating formula (50) with all_577_1_2283, sz10 and discharging atoms sdtpldt0(sz00, sz10) = all_577_1_2283, aNaturalNumber0(sz10), yields: % 114.38/81.70 | (4354) all_577_1_2283 = sz10 % 114.38/81.70 | % 114.38/81.70 | Instantiating formula (16) with sz00, sz10, all_102_2_49, all_607_0_2293 and discharging atoms sdtpldt0(sz00, sz10) = all_607_0_2293, sdtpldt0(sz00, sz10) = all_102_2_49, yields: % 114.38/81.70 | (4355) all_607_0_2293 = all_102_2_49 % 114.38/81.70 | % 114.38/81.70 | Combining equations (4353,4355) yields a new equation: % 114.38/81.70 | (4356) all_577_1_2283 = all_102_2_49 % 114.38/81.70 | % 114.38/81.70 | Simplifying 4356 yields: % 114.38/81.70 | (4357) all_577_1_2283 = all_102_2_49 % 114.38/81.70 | % 114.38/81.70 | Combining equations (4357,4354) yields a new equation: % 114.38/81.70 | (3179) all_102_2_49 = sz10 % 114.38/81.70 | % 114.38/81.70 | Simplifying 3179 yields: % 114.38/81.70 | (2388) all_102_2_49 = sz10 % 114.38/81.70 | % 114.38/81.70 | Combining equations (2293,2388) yields a new equation: % 114.38/81.70 | (1337) sz10 = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1337) can reduce 88 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1339) ~ (xm = sz00) % 114.38/81.70 | (1726) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v0 & sdtasdt0(xp, xm) = v1) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (207), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1336) xm = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1339 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1339) ~ (xm = sz00) % 114.38/81.70 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (201), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1336) xm = sz00 % 114.38/81.70 | % 114.38/81.70 | Equations (1336) can reduce 1339 to: % 114.38/81.70 | (174) $false % 114.38/81.70 | % 114.38/81.70 |-The branch is then unsatisfiable % 114.38/81.70 |-Branch two: % 114.38/81.70 | (1339) ~ (xm = sz00) % 114.38/81.70 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 114.38/81.70 | % 114.38/81.70 +-Applying beta-rule and splitting (209), into two cases. % 114.38/81.70 |-Branch one: % 114.38/81.70 | (1336) xm = sz00 % 114.38/81.70 | % 114.38/81.71 | Equations (1336) can reduce 1339 to: % 114.38/81.71 | (174) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.38/81.71 | (1339) ~ (xm = sz00) % 114.38/81.71 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 114.38/81.71 | % 114.38/81.71 +-Applying beta-rule and splitting (1716), into two cases. % 114.38/81.71 |-Branch one: % 114.38/81.71 | (1739) all_0_0_0 = sz00 % 114.38/81.71 | % 114.38/81.71 | Combining equations (1739,1287) yields a new equation: % 114.38/81.71 | (1336) xm = sz00 % 114.38/81.71 | % 114.38/81.71 | Equations (1336) can reduce 1339 to: % 114.38/81.71 | (174) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.38/81.71 | (1742) ~ (all_0_0_0 = sz00) % 114.38/81.71 | (1743) all_0_0_0 = sz10 % 114.38/81.71 | % 114.38/81.71 | Combining equations (1743,1287) yields a new equation: % 114.38/81.71 | (1334) xm = sz10 % 114.38/81.71 | % 114.38/81.71 | From (1334) and (1331) follows: % 114.38/81.71 | (149) sdtlseqdt0(sz10, sz10) % 114.38/81.71 | % 114.38/81.71 | From (1334) and (1717) follows: % 114.38/81.71 | (1746) ~ sdtlseqdt0(sz10, sz10) % 114.38/81.71 | % 114.38/81.71 | Using (149) and (1746) yields: % 114.38/81.71 | (1719) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.38/81.71 | (1748) ~ sdtlseqdt0(xm, sz10) % 114.38/81.71 | (1333) sdtlseqdt0(sz10, xm) % 114.38/81.71 | % 114.38/81.71 +-Applying beta-rule and splitting (137), into two cases. % 114.38/81.71 |-Branch one: % 114.38/81.71 | (1336) xm = sz00 % 114.38/81.71 | % 114.38/81.71 | From (1336) and (1748) follows: % 114.38/81.71 | (4388) ~ sdtlseqdt0(sz00, sz10) % 114.38/81.71 | % 114.38/81.71 | Using (4218) and (4388) yields: % 114.38/81.71 | (1719) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.38/81.71 | (1339) ~ (xm = sz00) % 114.38/81.71 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.38/81.71 | % 114.38/81.71 +-Applying beta-rule and splitting (194), into two cases. % 114.38/81.71 |-Branch one: % 114.38/81.71 | (1336) xm = sz00 % 114.38/81.71 | % 114.38/81.71 | Equations (1336) can reduce 1339 to: % 114.38/81.71 | (174) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.38/81.71 | (1339) ~ (xm = sz00) % 114.38/81.71 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.38/81.71 | % 114.38/81.71 +-Applying beta-rule and splitting (1302), into two cases. % 114.38/81.71 |-Branch one: % 114.38/81.71 | (1336) xm = sz00 % 114.38/81.71 | % 114.38/81.71 | Equations (1336) can reduce 1339 to: % 114.38/81.71 | (174) $false % 114.38/81.71 | % 114.38/81.71 |-The branch is then unsatisfiable % 114.38/81.71 |-Branch two: % 114.77/81.71 | (1339) ~ (xm = sz00) % 114.77/81.71 | (1361) xp = xn % 114.77/81.71 | % 114.77/81.71 | Equations (1361) can reduce 18 to: % 114.77/81.71 | (1364) ~ (xn = sz10) % 114.77/81.71 | % 114.77/81.71 | From (1361) and (1213) follows: % 114.77/81.71 | (2640) sdtpldt0(xn, sz10) = sz10 % 114.77/81.71 | % 114.77/81.71 | From (1361) and (451) follows: % 114.77/81.71 | (2641) sdtpldt0(xm, xn) = xm % 114.77/81.71 | % 114.77/81.71 +-Applying beta-rule and splitting (490), into two cases. % 114.77/81.71 |-Branch one: % 114.77/81.71 | (1372) xn = sz10 % 114.77/81.71 | % 114.77/81.71 | Equations (1372) can reduce 1364 to: % 114.77/81.71 | (174) $false % 114.77/81.71 | % 114.77/81.71 |-The branch is then unsatisfiable % 114.77/81.71 |-Branch two: % 114.77/81.71 | (1364) ~ (xn = sz10) % 114.77/81.71 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.77/81.71 | % 114.77/81.71 | Instantiating (1529) with all_484_0_2446, all_484_1_2447 yields: % 114.77/81.71 | (4407) ~ (all_484_0_2446 = all_0_4_4) & ~ (all_484_1_2447 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_2447 & sdtpldt0(sz10, xm) = all_484_0_2446 % 114.77/81.71 | % 114.77/81.71 | Applying alpha-rule on (4407) yields: % 114.77/81.71 | (4408) ~ (all_484_0_2446 = all_0_4_4) % 114.77/81.71 | (4409) ~ (all_484_1_2447 = all_102_2_49) % 114.77/81.71 | (4410) sdtpldt0(xm, xn) = all_484_1_2447 % 114.77/81.71 | (4411) sdtpldt0(sz10, xm) = all_484_0_2446 % 114.77/81.71 | % 114.77/81.71 +-Applying beta-rule and splitting (542), into two cases. % 114.77/81.71 |-Branch one: % 114.77/81.71 | (1372) xn = sz10 % 114.77/81.71 | % 114.77/81.71 | Equations (1372) can reduce 1364 to: % 114.77/81.71 | (174) $false % 114.77/81.71 | % 114.77/81.71 |-The branch is then unsatisfiable % 114.77/81.71 |-Branch two: % 114.77/81.71 | (1364) ~ (xn = sz10) % 114.77/81.71 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.77/81.71 | % 114.77/81.71 +-Applying beta-rule and splitting (550), into two cases. % 114.77/81.71 |-Branch one: % 114.77/81.71 | (1372) xn = sz10 % 114.77/81.71 | % 114.77/81.71 | Equations (1372) can reduce 1364 to: % 114.77/81.71 | (174) $false % 114.77/81.71 | % 114.77/81.71 |-The branch is then unsatisfiable % 114.77/81.71 |-Branch two: % 114.77/81.71 | (1364) ~ (xn = sz10) % 114.77/81.71 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 114.77/81.71 | % 114.77/81.71 | Instantiating (1537) with all_495_0_2451, all_495_1_2452, all_495_2_2453 yields: % 114.77/81.71 | (4420) ~ (all_495_0_2451 = all_495_1_2452) & ~ (all_495_2_2453 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_2451 & sdtpldt0(sz10, sz10) = all_495_1_2452 & sdtpldt0(sz10, sz10) = all_495_2_2453 & sdtlseqdt0(all_495_1_2452, all_495_0_2451) & sdtlseqdt0(all_495_2_2453, all_83_0_38) % 114.77/81.71 | % 114.77/81.71 | Applying alpha-rule on (4420) yields: % 114.77/81.71 | (4421) sdtlseqdt0(all_495_2_2453, all_83_0_38) % 114.77/81.71 | (4422) sdtpldt0(xn, sz10) = all_495_0_2451 % 114.77/81.71 | (4423) sdtpldt0(sz10, sz10) = all_495_1_2452 % 114.77/81.71 | (4424) sdtlseqdt0(all_495_1_2452, all_495_0_2451) % 114.77/81.71 | (4425) ~ (all_495_0_2451 = all_495_1_2452) % 114.77/81.71 | (4426) sdtpldt0(sz10, sz10) = all_495_2_2453 % 114.77/81.71 | (4427) ~ (all_495_2_2453 = all_83_0_38) % 114.77/81.71 | % 114.77/81.71 +-Applying beta-rule and splitting (549), into two cases. % 114.77/81.71 |-Branch one: % 114.77/81.71 | (1372) xn = sz10 % 114.77/81.71 | % 114.77/81.71 | Equations (1372) can reduce 1364 to: % 114.77/81.71 | (174) $false % 114.77/81.71 | % 114.77/81.71 |-The branch is then unsatisfiable % 114.77/81.71 |-Branch two: % 114.77/81.71 | (1364) ~ (xn = sz10) % 114.77/81.71 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 114.77/81.71 | % 114.77/81.71 | Instantiating (1468) with all_501_0_2454, all_501_1_2455, all_501_2_2456 yields: % 114.77/81.71 | (4432) ~ (all_501_0_2454 = all_102_1_48) & ~ (all_501_1_2455 = all_501_2_2456) & sdtpldt0(xm, xn) = all_501_1_2455 & sdtpldt0(xm, sz10) = all_501_2_2456 & sdtpldt0(xn, xm) = all_501_0_2454 & sdtlseqdt0(all_501_2_2456, all_501_1_2455) & sdtlseqdt0(all_102_1_48, all_501_0_2454) % 114.77/81.71 | % 114.77/81.71 | Applying alpha-rule on (4432) yields: % 114.77/81.71 | (4433) sdtlseqdt0(all_102_1_48, all_501_0_2454) % 114.77/81.71 | (4434) ~ (all_501_0_2454 = all_102_1_48) % 114.77/81.71 | (4435) ~ (all_501_1_2455 = all_501_2_2456) % 114.77/81.71 | (4436) sdtpldt0(xm, xn) = all_501_1_2455 % 114.77/81.71 | (4437) sdtpldt0(xm, sz10) = all_501_2_2456 % 114.77/81.71 | (4438) sdtlseqdt0(all_501_2_2456, all_501_1_2455) % 114.77/81.72 | (4439) sdtpldt0(xn, xm) = all_501_0_2454 % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (488), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (1372) xn = sz10 % 114.77/81.72 | % 114.77/81.72 | Equations (1372) can reduce 1364 to: % 114.77/81.72 | (174) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (1364) ~ (xn = sz10) % 114.77/81.72 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (534), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (2697) all_0_4_4 = xm % 114.77/81.72 | % 114.77/81.72 | From (2697) and (144) follows: % 114.77/81.72 | (107) aNaturalNumber0(xm) % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (551), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (1372) xn = sz10 % 114.77/81.72 | % 114.77/81.72 | Equations (1372) can reduce 1364 to: % 114.77/81.72 | (174) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (1364) ~ (xn = sz10) % 114.77/81.72 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.77/81.72 | % 114.77/81.72 | Instantiating (1502) with all_517_0_2459, all_517_1_2460, all_517_2_2461 yields: % 114.77/81.72 | (4450) ~ (all_517_0_2459 = all_83_0_38) & ~ (all_517_1_2460 = all_517_2_2461) & sdtpldt0(xn, xn) = all_517_0_2459 & sdtpldt0(xn, xn) = all_517_1_2460 & sdtpldt0(xn, sz10) = all_517_2_2461 & sdtlseqdt0(all_517_2_2461, all_517_1_2460) & sdtlseqdt0(all_83_0_38, all_517_0_2459) % 114.77/81.72 | % 114.77/81.72 | Applying alpha-rule on (4450) yields: % 114.77/81.72 | (4451) ~ (all_517_1_2460 = all_517_2_2461) % 114.77/81.72 | (4452) ~ (all_517_0_2459 = all_83_0_38) % 114.77/81.72 | (4453) sdtpldt0(xn, xn) = all_517_1_2460 % 114.77/81.72 | (4454) sdtpldt0(xn, xn) = all_517_0_2459 % 114.77/81.72 | (4455) sdtlseqdt0(all_83_0_38, all_517_0_2459) % 114.77/81.72 | (4456) sdtlseqdt0(all_517_2_2461, all_517_1_2460) % 114.77/81.72 | (4457) sdtpldt0(xn, sz10) = all_517_2_2461 % 114.77/81.72 | % 114.77/81.72 | Instantiating formula (16) with xn, sz10, all_495_0_2451, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_2451, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 114.77/81.72 | (4458) all_495_0_2451 = all_83_2_40 % 114.77/81.72 | % 114.77/81.72 | Instantiating formula (16) with xn, sz10, all_495_0_2451, all_517_2_2461 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_2461, sdtpldt0(xn, sz10) = all_495_0_2451, yields: % 114.77/81.72 | (4459) all_517_2_2461 = all_495_0_2451 % 114.77/81.72 | % 114.77/81.72 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_2461 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_2461, sdtpldt0(xn, sz10) = sz10, yields: % 114.77/81.72 | (4460) all_517_2_2461 = sz10 % 114.77/81.72 | % 114.77/81.72 | Combining equations (4459,4460) yields a new equation: % 114.77/81.72 | (4461) all_495_0_2451 = sz10 % 114.77/81.72 | % 114.77/81.72 | Simplifying 4461 yields: % 114.77/81.72 | (4462) all_495_0_2451 = sz10 % 114.77/81.72 | % 114.77/81.72 | Combining equations (4458,4462) yields a new equation: % 114.77/81.72 | (3386) all_83_2_40 = sz10 % 114.77/81.72 | % 114.77/81.72 | Simplifying 3386 yields: % 114.77/81.72 | (2392) all_83_2_40 = sz10 % 114.77/81.72 | % 114.77/81.72 | From (2392) and (1199) follows: % 114.77/81.72 | (52) aNaturalNumber0(sz10) % 114.77/81.72 | % 114.77/81.72 | Instantiating formula (71) with sz10, sz00, xm and discharging atoms sdtlseqdt0(xm, sz00), sdtlseqdt0(sz00, sz10), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), ~ sdtlseqdt0(xm, sz10), yields: % 114.77/81.72 | (1719) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.72 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 114.77/81.72 | % 114.77/81.72 | Instantiating (2889) with all_513_0_2486, all_513_1_2487, all_513_2_2488 yields: % 114.77/81.72 | (4469) ~ (all_513_0_2486 = all_513_1_2487) & ~ (all_513_2_2488 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_2486 & sdtpldt0(xm, xn) = all_513_1_2487 & sdtpldt0(xn, all_0_4_4) = all_513_2_2488 & sdtlseqdt0(all_513_1_2487, all_513_0_2486) & sdtlseqdt0(all_0_4_4, all_513_2_2488) % 114.77/81.72 | % 114.77/81.72 | Applying alpha-rule on (4469) yields: % 114.77/81.72 | (4470) sdtpldt0(all_0_4_4, xn) = all_513_0_2486 % 114.77/81.72 | (4471) sdtlseqdt0(all_0_4_4, all_513_2_2488) % 114.77/81.72 | (4472) sdtlseqdt0(all_513_1_2487, all_513_0_2486) % 114.77/81.72 | (4473) ~ (all_513_2_2488 = all_0_4_4) % 114.77/81.72 | (4474) ~ (all_513_0_2486 = all_513_1_2487) % 114.77/81.72 | (4475) sdtpldt0(xn, all_0_4_4) = all_513_2_2488 % 114.77/81.72 | (4476) sdtpldt0(xm, xn) = all_513_1_2487 % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (551), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (1372) xn = sz10 % 114.77/81.72 | % 114.77/81.72 | Equations (1372) can reduce 1364 to: % 114.77/81.72 | (174) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (1364) ~ (xn = sz10) % 114.77/81.72 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (583), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (1372) xn = sz10 % 114.77/81.72 | % 114.77/81.72 | Equations (1372) can reduce 1364 to: % 114.77/81.72 | (174) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (1364) ~ (xn = sz10) % 114.77/81.72 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.77/81.72 | % 114.77/81.72 +-Applying beta-rule and splitting (545), into two cases. % 114.77/81.72 |-Branch one: % 114.77/81.72 | (1372) xn = sz10 % 114.77/81.72 | % 114.77/81.72 | Equations (1372) can reduce 1364 to: % 114.77/81.72 | (174) $false % 114.77/81.72 | % 114.77/81.72 |-The branch is then unsatisfiable % 114.77/81.72 |-Branch two: % 114.77/81.72 | (1364) ~ (xn = sz10) % 114.77/81.72 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.77/81.72 | % 114.77/81.72 | Instantiating (1587) with all_535_0_2495, all_535_1_2496, all_535_2_2497 yields: % 114.77/81.72 | (4489) ~ (all_535_0_2495 = all_535_1_2496) & ~ (all_535_2_2497 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_2497 & sdtpldt0(xn, xm) = all_535_0_2495 & sdtpldt0(sz10, xm) = all_535_1_2496 & sdtlseqdt0(all_535_1_2496, all_535_0_2495) & sdtlseqdt0(all_102_2_49, all_535_2_2497) % 114.77/81.72 | % 114.77/81.72 | Applying alpha-rule on (4489) yields: % 114.77/81.72 | (4490) sdtpldt0(xn, xm) = all_535_0_2495 % 114.77/81.72 | (4491) ~ (all_535_0_2495 = all_535_1_2496) % 114.77/81.72 | (4492) sdtpldt0(sz10, xm) = all_535_1_2496 % 114.77/81.72 | (4493) sdtlseqdt0(all_535_1_2496, all_535_0_2495) % 114.77/81.72 | (4494) ~ (all_535_2_2497 = all_102_2_49) % 114.77/81.73 | (4495) sdtpldt0(xm, xn) = all_535_2_2497 % 114.77/81.73 | (4496) sdtlseqdt0(all_102_2_49, all_535_2_2497) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (533), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (516), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (547), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (511), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 114.77/81.73 | % 114.77/81.73 | Instantiating (1576) with all_559_0_2506, all_559_1_2507 yields: % 114.77/81.73 | (4513) ~ (all_559_0_2506 = all_559_1_2507) & sdtpldt0(xm, xn) = all_559_1_2507 & sdtpldt0(xm, sz10) = all_559_0_2506 % 114.77/81.73 | % 114.77/81.73 | Applying alpha-rule on (4513) yields: % 114.77/81.73 | (4514) ~ (all_559_0_2506 = all_559_1_2507) % 114.77/81.73 | (4515) sdtpldt0(xm, xn) = all_559_1_2507 % 114.77/81.73 | (4516) sdtpldt0(xm, sz10) = all_559_0_2506 % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (491), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (535), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (548), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (544), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (536), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (509), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (515), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (507), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (538), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (2697) all_0_4_4 = xm % 114.77/81.73 | % 114.77/81.73 | Equations (2697) can reduce 2888 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.73 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (510), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 114.77/81.73 | % 114.77/81.73 | Instantiating (1490) with all_623_0_2531, all_623_1_2532 yields: % 114.77/81.73 | (4557) ~ (all_623_0_2531 = all_623_1_2532) & sdtpldt0(xm, xn) = all_623_0_2531 & sdtpldt0(xm, sz10) = all_623_1_2532 % 114.77/81.73 | % 114.77/81.73 | Applying alpha-rule on (4557) yields: % 114.77/81.73 | (4558) ~ (all_623_0_2531 = all_623_1_2532) % 114.77/81.73 | (4559) sdtpldt0(xm, xn) = all_623_0_2531 % 114.77/81.73 | (4560) sdtpldt0(xm, sz10) = all_623_1_2532 % 114.77/81.73 | % 114.77/81.73 +-Applying beta-rule and splitting (543), into two cases. % 114.77/81.73 |-Branch one: % 114.77/81.73 | (1372) xn = sz10 % 114.77/81.73 | % 114.77/81.73 | Equations (1372) can reduce 1364 to: % 114.77/81.73 | (174) $false % 114.77/81.73 | % 114.77/81.73 |-The branch is then unsatisfiable % 114.77/81.73 |-Branch two: % 114.77/81.73 | (1364) ~ (xn = sz10) % 114.77/81.73 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.77/81.74 | % 114.77/81.74 | Instantiating (1421) with all_633_0_2533, all_633_1_2534, all_633_2_2535 yields: % 114.77/81.74 | (4565) ~ (all_633_0_2533 = all_0_4_4) & ~ (all_633_1_2534 = all_633_2_2535) & sdtpldt0(xm, xn) = all_633_1_2534 & sdtpldt0(xm, sz10) = all_633_2_2535 & sdtpldt0(sz10, xm) = all_633_0_2533 & sdtlseqdt0(all_633_0_2533, all_0_4_4) & sdtlseqdt0(all_633_2_2535, all_633_1_2534) % 114.77/81.74 | % 114.77/81.74 | Applying alpha-rule on (4565) yields: % 114.77/81.74 | (4566) sdtlseqdt0(all_633_2_2535, all_633_1_2534) % 114.77/81.74 | (4567) sdtpldt0(sz10, xm) = all_633_0_2533 % 114.77/81.74 | (4568) ~ (all_633_0_2533 = all_0_4_4) % 114.77/81.74 | (4569) sdtpldt0(xm, xn) = all_633_1_2534 % 114.77/81.74 | (4570) ~ (all_633_1_2534 = all_633_2_2535) % 114.77/81.74 | (4571) sdtlseqdt0(all_633_0_2533, all_0_4_4) % 114.77/81.74 | (4572) sdtpldt0(xm, sz10) = all_633_2_2535 % 114.77/81.74 | % 114.77/81.74 +-Applying beta-rule and splitting (512), into two cases. % 114.77/81.74 |-Branch one: % 114.77/81.74 | (2697) all_0_4_4 = xm % 114.77/81.74 | % 114.77/81.74 | Equations (2697) can reduce 2888 to: % 114.77/81.74 | (174) $false % 114.77/81.74 | % 114.77/81.74 |-The branch is then unsatisfiable % 114.77/81.74 |-Branch two: % 114.77/81.74 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.74 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 114.77/81.74 | % 114.77/81.74 +-Applying beta-rule and splitting (537), into two cases. % 114.77/81.74 |-Branch one: % 114.77/81.74 | (2697) all_0_4_4 = xm % 114.77/81.74 | % 114.77/81.74 | Equations (2697) can reduce 2888 to: % 114.77/81.74 | (174) $false % 114.77/81.74 | % 114.77/81.74 |-The branch is then unsatisfiable % 114.77/81.74 |-Branch two: % 114.77/81.74 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.74 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_623_0_2531, all_633_1_2534 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2534, sdtpldt0(xm, xn) = all_623_0_2531, yields: % 114.77/81.74 | (4581) all_633_1_2534 = all_623_0_2531 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_559_1_2507, all_633_1_2534 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2534, sdtpldt0(xm, xn) = all_559_1_2507, yields: % 114.77/81.74 | (4582) all_633_1_2534 = all_559_1_2507 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_535_2_2497, all_623_0_2531 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2531, sdtpldt0(xm, xn) = all_535_2_2497, yields: % 114.77/81.74 | (4583) all_623_0_2531 = all_535_2_2497 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_513_1_2487, all_623_0_2531 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2531, sdtpldt0(xm, xn) = all_513_1_2487, yields: % 114.77/81.74 | (4584) all_623_0_2531 = all_513_1_2487 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_501_1_2455, all_623_0_2531 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2531, sdtpldt0(xm, xn) = all_501_1_2455, yields: % 114.77/81.74 | (4585) all_623_0_2531 = all_501_1_2455 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_484_1_2447, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_2447, sdtpldt0(xm, xn) = all_0_4_4, yields: % 114.77/81.74 | (4586) all_484_1_2447 = all_0_4_4 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, all_484_1_2447, all_623_0_2531 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2531, sdtpldt0(xm, xn) = all_484_1_2447, yields: % 114.77/81.74 | (4587) all_623_0_2531 = all_484_1_2447 % 114.77/81.74 | % 114.77/81.74 | Instantiating formula (16) with xm, xn, xm, all_623_0_2531 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2531, sdtpldt0(xm, xn) = xm, yields: % 114.77/81.74 | (4588) all_623_0_2531 = xm % 114.77/81.74 | % 114.77/81.74 | Combining equations (4581,4582) yields a new equation: % 114.77/81.74 | (4589) all_623_0_2531 = all_559_1_2507 % 114.77/81.74 | % 114.77/81.74 | Simplifying 4589 yields: % 114.77/81.74 | (4590) all_623_0_2531 = all_559_1_2507 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4584,4590) yields a new equation: % 114.77/81.74 | (4591) all_559_1_2507 = all_513_1_2487 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4587,4590) yields a new equation: % 114.77/81.74 | (4592) all_559_1_2507 = all_484_1_2447 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4583,4590) yields a new equation: % 114.77/81.74 | (4593) all_559_1_2507 = all_535_2_2497 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4588,4590) yields a new equation: % 114.77/81.74 | (4594) all_559_1_2507 = xm % 114.77/81.74 | % 114.77/81.74 | Combining equations (4585,4590) yields a new equation: % 114.77/81.74 | (4595) all_559_1_2507 = all_501_1_2455 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4592,4593) yields a new equation: % 114.77/81.74 | (4596) all_535_2_2497 = all_484_1_2447 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4591,4593) yields a new equation: % 114.77/81.74 | (4597) all_535_2_2497 = all_513_1_2487 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4594,4593) yields a new equation: % 114.77/81.74 | (4598) all_535_2_2497 = xm % 114.77/81.74 | % 114.77/81.74 | Combining equations (4595,4593) yields a new equation: % 114.77/81.74 | (4599) all_535_2_2497 = all_501_1_2455 % 114.77/81.74 | % 114.77/81.74 | Combining equations (4598,4597) yields a new equation: % 114.77/81.74 | (4600) all_513_1_2487 = xm % 114.77/81.74 | % 114.77/81.74 | Combining equations (4596,4597) yields a new equation: % 114.77/81.74 | (4601) all_513_1_2487 = all_484_1_2447 % 114.77/81.74 | % 114.77/81.75 | Combining equations (4599,4597) yields a new equation: % 114.77/81.75 | (4602) all_513_1_2487 = all_501_1_2455 % 114.77/81.75 | % 114.77/81.75 | Combining equations (4600,4602) yields a new equation: % 114.77/81.75 | (4603) all_501_1_2455 = xm % 114.77/81.75 | % 114.77/81.75 | Combining equations (4601,4602) yields a new equation: % 114.77/81.75 | (4604) all_501_1_2455 = all_484_1_2447 % 114.77/81.75 | % 114.77/81.75 | Combining equations (4604,4603) yields a new equation: % 114.77/81.75 | (4605) all_484_1_2447 = xm % 114.77/81.75 | % 114.77/81.75 | Simplifying 4605 yields: % 114.77/81.75 | (4606) all_484_1_2447 = xm % 114.77/81.75 | % 114.77/81.75 | Combining equations (4606,4586) yields a new equation: % 114.77/81.75 | (2697) all_0_4_4 = xm % 114.77/81.75 | % 114.77/81.75 | Equations (2697) can reduce 2888 to: % 114.77/81.75 | (174) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (3045) ~ sdtlseqdt0(xm, sz00) % 114.77/81.75 | (4610) sdtlseqdt0(sz00, xm) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (153), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1327) sdtlseqdt0(sz10, sz00) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (150), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1328) sdtlseqdt0(xr, sz00) % 114.77/81.75 | % 114.77/81.75 | From (310) and (1328) follows: % 114.77/81.75 | (1329) sdtlseqdt0(xn, sz00) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (151), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1330) sdtlseqdt0(xp, sz00) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (125), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1750) sdtlseqdt0(all_0_0_0, xr) % 114.77/81.75 | % 114.77/81.75 | From (1287)(310) and (1750) follows: % 114.77/81.75 | (1751) sdtlseqdt0(xm, xn) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (147), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1379) xn = sz00 % 114.77/81.75 | % 114.77/81.75 | From (1379) and (1751) follows: % 114.77/81.75 | (1326) sdtlseqdt0(xm, sz00) % 114.77/81.75 | % 114.77/81.75 | Using (1326) and (3045) yields: % 114.77/81.75 | (1719) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1365) ~ (xn = sz00) % 114.77/81.75 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (1021), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1379) xn = sz00 % 114.77/81.75 | % 114.77/81.75 | Equations (1379) can reduce 1365 to: % 114.77/81.75 | (174) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1365) ~ (xn = sz00) % 114.77/81.75 | (1415) all_146_0_54 = xm % 114.77/81.75 | % 114.77/81.75 | From (1415) and (600) follows: % 114.77/81.75 | (107) aNaturalNumber0(xm) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (137), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1336) xm = sz00 % 114.77/81.75 | % 114.77/81.75 | From (1336) and (4610) follows: % 114.77/81.75 | (154) sdtlseqdt0(sz00, sz00) % 114.77/81.75 | % 114.77/81.75 | From (1336) and (3045) follows: % 114.77/81.75 | (3628) ~ sdtlseqdt0(sz00, sz00) % 114.77/81.75 | % 114.77/81.75 | Using (154) and (3628) yields: % 114.77/81.75 | (1719) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1339) ~ (xm = sz00) % 114.77/81.75 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (194), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1336) xm = sz00 % 114.77/81.75 | % 114.77/81.75 | Equations (1336) can reduce 1339 to: % 114.77/81.75 | (174) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1339) ~ (xm = sz00) % 114.77/81.75 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (1302), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1336) xm = sz00 % 114.77/81.75 | % 114.77/81.75 | Equations (1336) can reduce 1339 to: % 114.77/81.75 | (174) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1339) ~ (xm = sz00) % 114.77/81.75 | (1361) xp = xn % 114.77/81.75 | % 114.77/81.75 | Equations (1361) can reduce 18 to: % 114.77/81.75 | (1364) ~ (xn = sz10) % 114.77/81.75 | % 114.77/81.75 | From (1361) and (451) follows: % 114.77/81.75 | (2641) sdtpldt0(xm, xn) = xm % 114.77/81.75 | % 114.77/81.75 | From (1361) and (540) follows: % 114.77/81.75 | (252) sdtlseqdt0(xn, all_0_4_4) % 114.77/81.75 | % 114.77/81.75 | From (1361) and (479) follows: % 114.77/81.75 | (2643) sdtlseqdt0(xn, xm) % 114.77/81.75 | % 114.77/81.75 | From (1361) and (1330) follows: % 114.77/81.75 | (1329) sdtlseqdt0(xn, sz00) % 114.77/81.75 | % 114.77/81.75 +-Applying beta-rule and splitting (490), into two cases. % 114.77/81.75 |-Branch one: % 114.77/81.75 | (1372) xn = sz10 % 114.77/81.75 | % 114.77/81.75 | Equations (1372) can reduce 1364 to: % 114.77/81.75 | (174) $false % 114.77/81.75 | % 114.77/81.75 |-The branch is then unsatisfiable % 114.77/81.75 |-Branch two: % 114.77/81.75 | (1364) ~ (xn = sz10) % 114.77/81.75 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.77/81.75 | % 114.77/81.75 | Instantiating (1529) with all_484_0_2628, all_484_1_2629 yields: % 114.77/81.75 | (4650) ~ (all_484_0_2628 = all_0_4_4) & ~ (all_484_1_2629 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_2629 & sdtpldt0(sz10, xm) = all_484_0_2628 % 114.77/81.75 | % 114.77/81.75 | Applying alpha-rule on (4650) yields: % 114.77/81.75 | (4651) ~ (all_484_0_2628 = all_0_4_4) % 114.77/81.76 | (4652) ~ (all_484_1_2629 = all_102_2_49) % 114.77/81.76 | (4653) sdtpldt0(xm, xn) = all_484_1_2629 % 114.77/81.76 | (4654) sdtpldt0(sz10, xm) = all_484_0_2628 % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (542), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (550), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (549), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 114.77/81.76 | % 114.77/81.76 | Instantiating (1468) with all_501_0_2636, all_501_1_2637, all_501_2_2638 yields: % 114.77/81.76 | (4667) ~ (all_501_0_2636 = all_102_1_48) & ~ (all_501_1_2637 = all_501_2_2638) & sdtpldt0(xm, xn) = all_501_1_2637 & sdtpldt0(xm, sz10) = all_501_2_2638 & sdtpldt0(xn, xm) = all_501_0_2636 & sdtlseqdt0(all_501_2_2638, all_501_1_2637) & sdtlseqdt0(all_102_1_48, all_501_0_2636) % 114.77/81.76 | % 114.77/81.76 | Applying alpha-rule on (4667) yields: % 114.77/81.76 | (4668) sdtlseqdt0(all_501_2_2638, all_501_1_2637) % 114.77/81.76 | (4669) sdtpldt0(xm, sz10) = all_501_2_2638 % 114.77/81.76 | (4670) ~ (all_501_1_2637 = all_501_2_2638) % 114.77/81.76 | (4671) sdtpldt0(xm, xn) = all_501_1_2637 % 114.77/81.76 | (4672) ~ (all_501_0_2636 = all_102_1_48) % 114.77/81.76 | (4673) sdtpldt0(xn, xm) = all_501_0_2636 % 114.77/81.76 | (4674) sdtlseqdt0(all_102_1_48, all_501_0_2636) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (488), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (534), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (2697) all_0_4_4 = xm % 114.77/81.76 | % 114.77/81.76 | From (2697) and (252) follows: % 114.77/81.76 | (2643) sdtlseqdt0(xn, xm) % 114.77/81.76 | % 114.77/81.76 | From (2697) and (144) follows: % 114.77/81.76 | (107) aNaturalNumber0(xm) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (1018), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1336) xm = sz00 % 114.77/81.76 | % 114.77/81.76 | Equations (1336) can reduce 1339 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1339) ~ (xm = sz00) % 114.77/81.76 | (1712) all_212_0_127 = xn % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (1300), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1336) xm = sz00 % 114.77/81.76 | % 114.77/81.76 | Equations (1336) can reduce 1339 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1339) ~ (xm = sz00) % 114.77/81.76 | (1477) all_214_0_128 = xn % 114.77/81.76 | % 114.77/81.76 | From (1477) and (725) follows: % 114.77/81.76 | (113) aNaturalNumber0(xn) % 114.77/81.76 | % 114.77/81.76 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 114.77/81.76 | (1370) xm = xn % 114.77/81.76 | % 114.77/81.76 | From (1370) and (3045) follows: % 114.77/81.76 | (3619) ~ sdtlseqdt0(xn, sz00) % 114.77/81.76 | % 114.77/81.76 | Using (1329) and (3619) yields: % 114.77/81.76 | (1719) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.76 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 114.77/81.76 | % 114.77/81.76 | Instantiating (2889) with all_513_0_2668, all_513_1_2669, all_513_2_2670 yields: % 114.77/81.76 | (4696) ~ (all_513_0_2668 = all_513_1_2669) & ~ (all_513_2_2670 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_2668 & sdtpldt0(xm, xn) = all_513_1_2669 & sdtpldt0(xn, all_0_4_4) = all_513_2_2670 & sdtlseqdt0(all_513_1_2669, all_513_0_2668) & sdtlseqdt0(all_0_4_4, all_513_2_2670) % 114.77/81.76 | % 114.77/81.76 | Applying alpha-rule on (4696) yields: % 114.77/81.76 | (4697) sdtpldt0(xn, all_0_4_4) = all_513_2_2670 % 114.77/81.76 | (4698) sdtlseqdt0(all_513_1_2669, all_513_0_2668) % 114.77/81.76 | (4699) ~ (all_513_2_2670 = all_0_4_4) % 114.77/81.76 | (4700) sdtlseqdt0(all_0_4_4, all_513_2_2670) % 114.77/81.76 | (4701) sdtpldt0(xm, xn) = all_513_1_2669 % 114.77/81.76 | (4702) ~ (all_513_0_2668 = all_513_1_2669) % 114.77/81.76 | (4703) sdtpldt0(all_0_4_4, xn) = all_513_0_2668 % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (551), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (1018), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1336) xm = sz00 % 114.77/81.76 | % 114.77/81.76 | Equations (1336) can reduce 1339 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1339) ~ (xm = sz00) % 114.77/81.76 | (1712) all_212_0_127 = xn % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (583), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 114.77/81.76 | % 114.77/81.76 +-Applying beta-rule and splitting (545), into two cases. % 114.77/81.76 |-Branch one: % 114.77/81.76 | (1372) xn = sz10 % 114.77/81.76 | % 114.77/81.76 | Equations (1372) can reduce 1364 to: % 114.77/81.76 | (174) $false % 114.77/81.76 | % 114.77/81.76 |-The branch is then unsatisfiable % 114.77/81.76 |-Branch two: % 114.77/81.76 | (1364) ~ (xn = sz10) % 114.77/81.76 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 114.77/81.76 | % 114.77/81.76 | Instantiating (1587) with all_535_0_2677, all_535_1_2678, all_535_2_2679 yields: % 114.77/81.76 | (4720) ~ (all_535_0_2677 = all_535_1_2678) & ~ (all_535_2_2679 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_2679 & sdtpldt0(xn, xm) = all_535_0_2677 & sdtpldt0(sz10, xm) = all_535_1_2678 & sdtlseqdt0(all_535_1_2678, all_535_0_2677) & sdtlseqdt0(all_102_2_49, all_535_2_2679) % 114.77/81.76 | % 114.77/81.76 | Applying alpha-rule on (4720) yields: % 114.77/81.77 | (4721) sdtlseqdt0(all_535_1_2678, all_535_0_2677) % 114.77/81.77 | (4722) sdtlseqdt0(all_102_2_49, all_535_2_2679) % 114.77/81.77 | (4723) sdtpldt0(sz10, xm) = all_535_1_2678 % 114.77/81.77 | (4724) ~ (all_535_0_2677 = all_535_1_2678) % 114.77/81.77 | (4725) sdtpldt0(xn, xm) = all_535_0_2677 % 114.77/81.77 | (4726) sdtpldt0(xm, xn) = all_535_2_2679 % 114.77/81.77 | (4727) ~ (all_535_2_2679 = all_102_2_49) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (533), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (516), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (547), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1372) xn = sz10 % 114.77/81.77 | % 114.77/81.77 | Equations (1372) can reduce 1364 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1364) ~ (xn = sz10) % 114.77/81.77 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (511), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1372) xn = sz10 % 114.77/81.77 | % 114.77/81.77 | Equations (1372) can reduce 1364 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1364) ~ (xn = sz10) % 114.77/81.77 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 114.77/81.77 | % 114.77/81.77 | Instantiating (1576) with all_559_0_2688, all_559_1_2689 yields: % 114.77/81.77 | (4744) ~ (all_559_0_2688 = all_559_1_2689) & sdtpldt0(xm, xn) = all_559_1_2689 & sdtpldt0(xm, sz10) = all_559_0_2688 % 114.77/81.77 | % 114.77/81.77 | Applying alpha-rule on (4744) yields: % 114.77/81.77 | (4745) ~ (all_559_0_2688 = all_559_1_2689) % 114.77/81.77 | (4746) sdtpldt0(xm, xn) = all_559_1_2689 % 114.77/81.77 | (4747) sdtpldt0(xm, sz10) = all_559_0_2688 % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (491), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (535), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (548), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1372) xn = sz10 % 114.77/81.77 | % 114.77/81.77 | Equations (1372) can reduce 1364 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1364) ~ (xn = sz10) % 114.77/81.77 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (544), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1372) xn = sz10 % 114.77/81.77 | % 114.77/81.77 | Equations (1372) can reduce 1364 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1364) ~ (xn = sz10) % 114.77/81.77 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (536), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (509), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1372) xn = sz10 % 114.77/81.77 | % 114.77/81.77 | Equations (1372) can reduce 1364 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1364) ~ (xn = sz10) % 114.77/81.77 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (1017), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (1739) all_0_0_0 = sz00 % 114.77/81.77 | % 114.77/81.77 | Combining equations (1287,1739) yields a new equation: % 114.77/81.77 | (2967) xm = sz00 % 114.77/81.77 | % 114.77/81.77 | Simplifying 2967 yields: % 114.77/81.77 | (1336) xm = sz00 % 114.77/81.77 | % 114.77/81.77 | Equations (1336) can reduce 1339 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (1742) ~ (all_0_0_0 = sz00) % 114.77/81.77 | (2971) all_214_0_128 = xp % 114.77/81.77 | % 114.77/81.77 | Combining equations (1361,2971) yields a new equation: % 114.77/81.77 | (1477) all_214_0_128 = xn % 114.77/81.77 | % 114.77/81.77 | From (1477) and (725) follows: % 114.77/81.77 | (113) aNaturalNumber0(xn) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (515), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (507), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 114.77/81.77 | % 114.77/81.77 +-Applying beta-rule and splitting (538), into two cases. % 114.77/81.77 |-Branch one: % 114.77/81.77 | (2697) all_0_4_4 = xm % 114.77/81.77 | % 114.77/81.77 | Equations (2697) can reduce 2888 to: % 114.77/81.77 | (174) $false % 114.77/81.77 | % 114.77/81.77 |-The branch is then unsatisfiable % 114.77/81.77 |-Branch two: % 114.77/81.77 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.77 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 114.77/81.78 | % 114.77/81.78 +-Applying beta-rule and splitting (510), into two cases. % 114.77/81.78 |-Branch one: % 114.77/81.78 | (1372) xn = sz10 % 114.77/81.78 | % 114.77/81.78 | Equations (1372) can reduce 1364 to: % 114.77/81.78 | (174) $false % 114.77/81.78 | % 114.77/81.78 |-The branch is then unsatisfiable % 114.77/81.78 |-Branch two: % 114.77/81.78 | (1364) ~ (xn = sz10) % 114.77/81.78 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 114.77/81.78 | % 114.77/81.78 | Instantiating (1490) with all_623_0_2713, all_623_1_2714 yields: % 114.77/81.78 | (4796) ~ (all_623_0_2713 = all_623_1_2714) & sdtpldt0(xm, xn) = all_623_0_2713 & sdtpldt0(xm, sz10) = all_623_1_2714 % 114.77/81.78 | % 114.77/81.78 | Applying alpha-rule on (4796) yields: % 114.77/81.78 | (4797) ~ (all_623_0_2713 = all_623_1_2714) % 114.77/81.78 | (4798) sdtpldt0(xm, xn) = all_623_0_2713 % 114.77/81.78 | (4799) sdtpldt0(xm, sz10) = all_623_1_2714 % 114.77/81.78 | % 114.77/81.78 +-Applying beta-rule and splitting (543), into two cases. % 114.77/81.78 |-Branch one: % 114.77/81.78 | (1372) xn = sz10 % 114.77/81.78 | % 114.77/81.78 | Equations (1372) can reduce 1364 to: % 114.77/81.78 | (174) $false % 114.77/81.78 | % 114.77/81.78 |-The branch is then unsatisfiable % 114.77/81.78 |-Branch two: % 114.77/81.78 | (1364) ~ (xn = sz10) % 114.77/81.78 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.77/81.78 | % 114.77/81.78 | Instantiating (1421) with all_633_0_2715, all_633_1_2716, all_633_2_2717 yields: % 114.77/81.78 | (4804) ~ (all_633_0_2715 = all_0_4_4) & ~ (all_633_1_2716 = all_633_2_2717) & sdtpldt0(xm, xn) = all_633_1_2716 & sdtpldt0(xm, sz10) = all_633_2_2717 & sdtpldt0(sz10, xm) = all_633_0_2715 & sdtlseqdt0(all_633_0_2715, all_0_4_4) & sdtlseqdt0(all_633_2_2717, all_633_1_2716) % 114.77/81.78 | % 114.77/81.78 | Applying alpha-rule on (4804) yields: % 114.77/81.78 | (4805) ~ (all_633_0_2715 = all_0_4_4) % 114.77/81.78 | (4806) ~ (all_633_1_2716 = all_633_2_2717) % 114.77/81.78 | (4807) sdtlseqdt0(all_633_0_2715, all_0_4_4) % 114.77/81.78 | (4808) sdtpldt0(xm, xn) = all_633_1_2716 % 114.77/81.78 | (4809) sdtpldt0(xm, sz10) = all_633_2_2717 % 114.77/81.78 | (4810) sdtlseqdt0(all_633_2_2717, all_633_1_2716) % 114.77/81.78 | (4811) sdtpldt0(sz10, xm) = all_633_0_2715 % 114.77/81.78 | % 114.77/81.78 +-Applying beta-rule and splitting (512), into two cases. % 114.77/81.78 |-Branch one: % 114.77/81.78 | (2697) all_0_4_4 = xm % 114.77/81.78 | % 114.77/81.78 | Equations (2697) can reduce 2888 to: % 114.77/81.78 | (174) $false % 114.77/81.78 | % 114.77/81.78 |-The branch is then unsatisfiable % 114.77/81.78 |-Branch two: % 114.77/81.78 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.78 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 114.77/81.78 | % 114.77/81.78 +-Applying beta-rule and splitting (537), into two cases. % 114.77/81.78 |-Branch one: % 114.77/81.78 | (2697) all_0_4_4 = xm % 114.77/81.78 | % 114.77/81.78 | Equations (2697) can reduce 2888 to: % 114.77/81.78 | (174) $false % 114.77/81.78 | % 114.77/81.78 |-The branch is then unsatisfiable % 114.77/81.78 |-Branch two: % 114.77/81.78 | (2888) ~ (all_0_4_4 = xm) % 114.77/81.78 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_623_0_2713, all_633_1_2716 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2716, sdtpldt0(xm, xn) = all_623_0_2713, yields: % 114.77/81.78 | (4820) all_633_1_2716 = all_623_0_2713 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_559_1_2689, all_623_0_2713 and discharging atoms sdtpldt0(xm, xn) = all_623_0_2713, sdtpldt0(xm, xn) = all_559_1_2689, yields: % 114.77/81.78 | (4821) all_623_0_2713 = all_559_1_2689 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_535_2_2679, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2679, sdtpldt0(xm, xn) = all_0_4_4, yields: % 114.77/81.78 | (4822) all_535_2_2679 = all_0_4_4 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_535_2_2679, all_559_1_2689 and discharging atoms sdtpldt0(xm, xn) = all_559_1_2689, sdtpldt0(xm, xn) = all_535_2_2679, yields: % 114.77/81.78 | (4823) all_559_1_2689 = all_535_2_2679 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_513_1_2669, all_535_2_2679 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2679, sdtpldt0(xm, xn) = all_513_1_2669, yields: % 114.77/81.78 | (4824) all_535_2_2679 = all_513_1_2669 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_501_1_2637, all_535_2_2679 and discharging atoms sdtpldt0(xm, xn) = all_535_2_2679, sdtpldt0(xm, xn) = all_501_1_2637, yields: % 114.77/81.78 | (4825) all_535_2_2679 = all_501_1_2637 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, all_484_1_2629, all_633_1_2716 and discharging atoms sdtpldt0(xm, xn) = all_633_1_2716, sdtpldt0(xm, xn) = all_484_1_2629, yields: % 114.77/81.78 | (4826) all_633_1_2716 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (16) with xm, xn, xm, all_513_1_2669 and discharging atoms sdtpldt0(xm, xn) = all_513_1_2669, sdtpldt0(xm, xn) = xm, yields: % 114.77/81.78 | (4827) all_513_1_2669 = xm % 114.77/81.78 | % 114.77/81.78 | Instantiating formula (2) with xm, xn and discharging atoms sdtlseqdt0(xm, xn), sdtlseqdt0(xn, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), yields: % 114.77/81.78 | (1370) xm = xn % 114.77/81.78 | % 114.77/81.78 | Combining equations (4820,4826) yields a new equation: % 114.77/81.78 | (4829) all_623_0_2713 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Simplifying 4829 yields: % 114.77/81.78 | (4830) all_623_0_2713 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Combining equations (4821,4830) yields a new equation: % 114.77/81.78 | (4831) all_559_1_2689 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Simplifying 4831 yields: % 114.77/81.78 | (4832) all_559_1_2689 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Combining equations (4823,4832) yields a new equation: % 114.77/81.78 | (4833) all_535_2_2679 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Simplifying 4833 yields: % 114.77/81.78 | (4834) all_535_2_2679 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.78 | Combining equations (4824,4825) yields a new equation: % 114.77/81.78 | (4835) all_513_1_2669 = all_501_1_2637 % 114.77/81.78 | % 114.77/81.78 | Simplifying 4835 yields: % 114.77/81.78 | (4836) all_513_1_2669 = all_501_1_2637 % 114.77/81.78 | % 114.77/81.78 | Combining equations (4822,4825) yields a new equation: % 114.77/81.78 | (4837) all_501_1_2637 = all_0_4_4 % 114.77/81.78 | % 114.77/81.78 | Combining equations (4834,4825) yields a new equation: % 114.77/81.78 | (4838) all_501_1_2637 = all_484_1_2629 % 114.77/81.78 | % 114.77/81.79 | Combining equations (4836,4827) yields a new equation: % 114.77/81.79 | (4839) all_501_1_2637 = xm % 114.77/81.79 | % 114.77/81.79 | Simplifying 4839 yields: % 114.77/81.79 | (4840) all_501_1_2637 = xm % 114.77/81.79 | % 114.77/81.79 | Combining equations (4840,4838) yields a new equation: % 114.77/81.79 | (4841) all_484_1_2629 = xm % 114.77/81.79 | % 114.77/81.79 | Combining equations (4837,4838) yields a new equation: % 114.77/81.79 | (4842) all_484_1_2629 = all_0_4_4 % 114.77/81.79 | % 114.77/81.79 | Combining equations (4842,4841) yields a new equation: % 114.77/81.79 | (3037) all_0_4_4 = xm % 114.77/81.79 | % 114.77/81.79 | Simplifying 3037 yields: % 114.77/81.79 | (2697) all_0_4_4 = xm % 114.77/81.79 | % 114.77/81.79 | Combining equations (1370,2697) yields a new equation: % 114.77/81.79 | (3039) all_0_4_4 = xn % 114.77/81.79 | % 114.77/81.79 | Equations (3039,1370) can reduce 2888 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (3041) ~ sdtlseqdt0(all_0_0_0, xr) % 114.77/81.79 | (3042) sdtlseqdt0(xr, all_0_0_0) % 114.77/81.79 | % 114.77/81.79 | From (310)(1287) and (3042) follows: % 114.77/81.79 | (2643) sdtlseqdt0(xn, xm) % 114.77/81.79 | % 114.77/81.79 | From (1287)(310) and (3041) follows: % 114.77/81.79 | (3043) ~ sdtlseqdt0(xm, xn) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (147), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1379) xn = sz00 % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,310) yields a new equation: % 114.77/81.79 | (1377) xr = sz00 % 114.77/81.79 | % 114.77/81.79 | From (1379) and (2643) follows: % 114.77/81.79 | (4610) sdtlseqdt0(sz00, xm) % 114.77/81.79 | % 114.77/81.79 | From (1379) and (3043) follows: % 114.77/81.79 | (3045) ~ sdtlseqdt0(xm, sz00) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (142), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1361) xp = xn % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,1361) yields a new equation: % 114.77/81.79 | (173) xp = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (173) can reduce 37 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1593) ~ (xp = xn) % 114.77/81.79 | (1597) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 114.77/81.79 | % 114.77/81.79 | Equations (1379) can reduce 1593 to: % 114.77/81.79 | (37) ~ (xp = sz00) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (191), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1336) xm = sz00 % 114.77/81.79 | % 114.77/81.79 | From (1336) and (4610) follows: % 114.77/81.79 | (154) sdtlseqdt0(sz00, sz00) % 114.77/81.79 | % 114.77/81.79 | From (1336) and (3045) follows: % 114.77/81.79 | (3628) ~ sdtlseqdt0(sz00, sz00) % 114.77/81.79 | % 114.77/81.79 | Using (154) and (3628) yields: % 114.77/81.79 | (1719) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1339) ~ (xm = sz00) % 114.77/81.79 | (2396) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (500), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1370) xm = xn % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,1370) yields a new equation: % 114.77/81.79 | (1336) xm = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (1336) can reduce 1339 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1426) ~ (xm = xn) % 114.77/81.79 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 114.77/81.79 | % 114.77/81.79 | Equations (1379) can reduce 1426 to: % 114.77/81.79 | (1339) ~ (xm = sz00) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (222), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1361) xp = xn % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,1361) yields a new equation: % 114.77/81.79 | (173) xp = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (173) can reduce 37 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1593) ~ (xp = xn) % 114.77/81.79 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 114.77/81.79 | % 114.77/81.79 | Equations (1379) can reduce 1593 to: % 114.77/81.79 | (37) ~ (xp = sz00) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (208), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1336) xm = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (1336) can reduce 1339 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1339) ~ (xm = sz00) % 114.77/81.79 | (1633) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (141), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1361) xp = xn % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,1361) yields a new equation: % 114.77/81.79 | (173) xp = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (173) can reduce 37 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1593) ~ (xp = xn) % 114.77/81.79 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 114.77/81.79 | % 114.77/81.79 | Equations (1379) can reduce 1593 to: % 114.77/81.79 | (37) ~ (xp = sz00) % 114.77/81.79 | % 114.77/81.79 +-Applying beta-rule and splitting (1633), into two cases. % 114.77/81.79 |-Branch one: % 114.77/81.79 | (1361) xp = xn % 114.77/81.79 | % 114.77/81.79 | Combining equations (1379,1361) yields a new equation: % 114.77/81.79 | (173) xp = sz00 % 114.77/81.79 | % 114.77/81.79 | Equations (173) can reduce 37 to: % 114.77/81.79 | (174) $false % 114.77/81.79 | % 114.77/81.79 |-The branch is then unsatisfiable % 114.77/81.79 |-Branch two: % 114.77/81.79 | (1593) ~ (xp = xn) % 114.77/81.79 | (1642) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1593 to: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (200), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (2428) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(all_15_3_9, v0)) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (230), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1361) xp = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1379,1361) yields a new equation: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1593) ~ (xp = xn) % 114.77/81.80 | (1879) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1593 to: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (209), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1602), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1361) xp = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1379,1361) yields a new equation: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1593) ~ (xp = xn) % 114.77/81.80 | (1620) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1593 to: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1300), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (1477) all_214_0_128 = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1379,1477) yields a new equation: % 114.77/81.80 | (2449) all_214_0_128 = sz00 % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (201), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1346), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1361) xp = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1379,1361) yields a new equation: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1593) ~ (xp = xn) % 114.77/81.80 | (2458) ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1593 to: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (204), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (2463) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v1 & sdtasdt0(xp, xm) = v0) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1299), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (2467) all_214_0_128 = all_212_0_127 % 114.77/81.80 | % 114.77/81.80 | Combining equations (2467,2449) yields a new equation: % 114.77/81.80 | (2468) all_212_0_127 = sz00 % 114.77/81.80 | % 114.77/81.80 | Simplifying 2468 yields: % 114.77/81.80 | (2469) all_212_0_127 = sz00 % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (558), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1363) all_54_0_19 = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1200,1363) yields a new equation: % 114.77/81.80 | (1605) xp = xn % 114.77/81.80 | % 114.77/81.80 | Simplifying 1605 yields: % 114.77/81.80 | (1361) xp = xn % 114.77/81.80 | % 114.77/81.80 | Combining equations (1379,1361) yields a new equation: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1608) ~ (all_54_0_19 = xn) % 114.77/81.80 | (1784) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 114.77/81.80 | % 114.77/81.80 | Equations (1200,1379) can reduce 1608 to: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (2463), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1360) xr = xp % 114.77/81.80 | % 114.77/81.80 | Combining equations (1360,1377) yields a new equation: % 114.77/81.80 | (1222) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Simplifying 1222 yields: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1590) ~ (xr = xp) % 114.77/81.80 | (2483) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v1 & sdtasdt0(xp, xm) = v0) % 114.77/81.80 | % 114.77/81.80 | Equations (1377) can reduce 1590 to: % 114.77/81.80 | (2098) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 | Simplifying 2098 yields: % 114.77/81.80 | (37) ~ (xp = sz00) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1301), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (1340) all_212_0_127 = xp % 114.77/81.80 | % 114.77/81.80 | Combining equations (1340,2469) yields a new equation: % 114.77/81.80 | (1222) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Simplifying 1222 yields: % 114.77/81.80 | (173) xp = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (173) can reduce 37 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1365) ~ (xn = sz00) % 114.77/81.80 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1021), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1379) xn = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1365 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1365) ~ (xn = sz00) % 114.77/81.80 | (1415) all_146_0_54 = xm % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (127), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1377) xr = sz00 % 114.77/81.80 | % 114.77/81.80 | Combining equations (1377,310) yields a new equation: % 114.77/81.80 | (1379) xn = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1379) can reduce 1365 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1381) ~ (xr = sz00) % 114.77/81.80 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (137), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | From (1336) and (4610) follows: % 114.77/81.80 | (154) sdtlseqdt0(sz00, sz00) % 114.77/81.80 | % 114.77/81.80 | From (1336) and (3045) follows: % 114.77/81.80 | (3628) ~ sdtlseqdt0(sz00, sz00) % 114.77/81.80 | % 114.77/81.80 | Using (154) and (3628) yields: % 114.77/81.80 | (1719) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (194), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 114.77/81.80 | % 114.77/81.80 +-Applying beta-rule and splitting (1302), into two cases. % 114.77/81.80 |-Branch one: % 114.77/81.80 | (1336) xm = sz00 % 114.77/81.80 | % 114.77/81.80 | Equations (1336) can reduce 1339 to: % 114.77/81.80 | (174) $false % 114.77/81.80 | % 114.77/81.80 |-The branch is then unsatisfiable % 114.77/81.80 |-Branch two: % 114.77/81.80 | (1339) ~ (xm = sz00) % 114.77/81.80 | (1361) xp = xn % 114.77/81.80 | % 114.77/81.80 | Equations (1361) can reduce 18 to: % 114.77/81.80 | (1364) ~ (xn = sz10) % 114.77/81.80 | % 114.77/81.80 | From (1361) and (584) follows: % 114.77/81.81 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 114.77/81.81 | % 114.77/81.81 | From (1361) and (1213) follows: % 114.77/81.81 | (2640) sdtpldt0(xn, sz10) = sz10 % 114.77/81.81 | % 114.77/81.81 | From (1361) and (451) follows: % 114.77/81.81 | (2641) sdtpldt0(xm, xn) = xm % 114.77/81.81 | % 114.77/81.81 | From (1361) and (265) follows: % 114.77/81.81 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 114.77/81.81 | % 114.77/81.81 | From (1361) and (1330) follows: % 114.77/81.81 | (1329) sdtlseqdt0(xn, sz00) % 114.77/81.81 | % 114.77/81.81 +-Applying beta-rule and splitting (490), into two cases. % 114.77/81.81 |-Branch one: % 114.77/81.81 | (1372) xn = sz10 % 114.77/81.81 | % 114.77/81.81 | Equations (1372) can reduce 1364 to: % 114.77/81.81 | (174) $false % 114.77/81.81 | % 114.77/81.81 |-The branch is then unsatisfiable % 114.77/81.81 |-Branch two: % 114.77/81.81 | (1364) ~ (xn = sz10) % 114.77/81.81 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 114.77/81.81 | % 114.77/81.81 | Instantiating (1529) with all_484_0_2755, all_484_1_2756 yields: % 114.77/81.81 | (4998) ~ (all_484_0_2755 = all_0_4_4) & ~ (all_484_1_2756 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_2756 & sdtpldt0(sz10, xm) = all_484_0_2755 % 114.77/81.81 | % 114.77/81.81 | Applying alpha-rule on (4998) yields: % 114.77/81.81 | (4999) ~ (all_484_0_2755 = all_0_4_4) % 114.77/81.81 | (5000) ~ (all_484_1_2756 = all_102_2_49) % 114.77/81.81 | (5001) sdtpldt0(xm, xn) = all_484_1_2756 % 114.77/81.81 | (5002) sdtpldt0(sz10, xm) = all_484_0_2755 % 114.77/81.81 | % 114.77/81.81 +-Applying beta-rule and splitting (542), into two cases. % 114.77/81.81 |-Branch one: % 114.77/81.81 | (1372) xn = sz10 % 114.77/81.81 | % 114.77/81.81 | Equations (1372) can reduce 1364 to: % 114.77/81.81 | (174) $false % 114.77/81.81 | % 114.77/81.81 |-The branch is then unsatisfiable % 114.77/81.81 |-Branch two: % 114.77/81.81 | (1364) ~ (xn = sz10) % 114.77/81.81 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 114.77/81.81 | % 114.77/81.81 | Instantiating (1452) with all_490_0_2757, all_490_1_2758, all_490_2_2759 yields: % 114.77/81.81 | (5007) ~ (all_490_0_2757 = all_490_1_2758) & ~ (all_490_2_2759 = all_0_4_4) & sdtpldt0(xm, sz10) = all_490_2_2759 & sdtpldt0(xn, xm) = all_490_0_2757 & sdtpldt0(sz10, xm) = all_490_1_2758 & sdtlseqdt0(all_490_1_2758, all_490_0_2757) & sdtlseqdt0(all_490_2_2759, all_0_4_4) % 115.15/81.81 | % 115.15/81.81 | Applying alpha-rule on (5007) yields: % 115.15/81.81 | (5008) sdtpldt0(xn, xm) = all_490_0_2757 % 115.15/81.81 | (5009) ~ (all_490_0_2757 = all_490_1_2758) % 115.15/81.81 | (5010) sdtpldt0(xm, sz10) = all_490_2_2759 % 115.15/81.81 | (5011) sdtlseqdt0(all_490_2_2759, all_0_4_4) % 115.15/81.81 | (5012) sdtpldt0(sz10, xm) = all_490_1_2758 % 115.15/81.81 | (5013) sdtlseqdt0(all_490_1_2758, all_490_0_2757) % 115.15/81.81 | (5014) ~ (all_490_2_2759 = all_0_4_4) % 115.15/81.81 | % 115.15/81.81 +-Applying beta-rule and splitting (550), into two cases. % 115.15/81.81 |-Branch one: % 115.15/81.81 | (1372) xn = sz10 % 115.15/81.81 | % 115.15/81.81 | Equations (1372) can reduce 1364 to: % 115.15/81.81 | (174) $false % 115.15/81.81 | % 115.15/81.81 |-The branch is then unsatisfiable % 115.15/81.81 |-Branch two: % 115.15/81.81 | (1364) ~ (xn = sz10) % 115.15/81.81 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.15/81.81 | % 115.15/81.81 | Instantiating (1537) with all_495_0_2760, all_495_1_2761, all_495_2_2762 yields: % 115.15/81.81 | (5019) ~ (all_495_0_2760 = all_495_1_2761) & ~ (all_495_2_2762 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_2760 & sdtpldt0(sz10, sz10) = all_495_1_2761 & sdtpldt0(sz10, sz10) = all_495_2_2762 & sdtlseqdt0(all_495_1_2761, all_495_0_2760) & sdtlseqdt0(all_495_2_2762, all_83_0_38) % 115.15/81.81 | % 115.15/81.81 | Applying alpha-rule on (5019) yields: % 115.15/81.81 | (5020) sdtlseqdt0(all_495_2_2762, all_83_0_38) % 115.15/81.81 | (5021) sdtlseqdt0(all_495_1_2761, all_495_0_2760) % 115.15/81.81 | (5022) sdtpldt0(sz10, sz10) = all_495_1_2761 % 115.15/81.81 | (5023) sdtpldt0(xn, sz10) = all_495_0_2760 % 115.15/81.81 | (5024) ~ (all_495_2_2762 = all_83_0_38) % 115.15/81.81 | (5025) ~ (all_495_0_2760 = all_495_1_2761) % 115.15/81.81 | (5026) sdtpldt0(sz10, sz10) = all_495_2_2762 % 115.15/81.81 | % 115.15/81.81 +-Applying beta-rule and splitting (549), into two cases. % 115.15/81.81 |-Branch one: % 115.15/81.81 | (1372) xn = sz10 % 115.15/81.81 | % 115.15/81.81 | Equations (1372) can reduce 1364 to: % 115.15/81.81 | (174) $false % 115.15/81.81 | % 115.15/81.81 |-The branch is then unsatisfiable % 115.15/81.81 |-Branch two: % 115.15/81.81 | (1364) ~ (xn = sz10) % 115.15/81.81 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 115.15/81.81 | % 115.15/81.81 | Instantiating (1468) with all_501_0_2763, all_501_1_2764, all_501_2_2765 yields: % 115.15/81.81 | (5031) ~ (all_501_0_2763 = all_102_1_48) & ~ (all_501_1_2764 = all_501_2_2765) & sdtpldt0(xm, xn) = all_501_1_2764 & sdtpldt0(xm, sz10) = all_501_2_2765 & sdtpldt0(xn, xm) = all_501_0_2763 & sdtlseqdt0(all_501_2_2765, all_501_1_2764) & sdtlseqdt0(all_102_1_48, all_501_0_2763) % 115.15/81.81 | % 115.15/81.81 | Applying alpha-rule on (5031) yields: % 115.15/81.81 | (5032) sdtlseqdt0(all_102_1_48, all_501_0_2763) % 115.15/81.81 | (5033) ~ (all_501_0_2763 = all_102_1_48) % 115.15/81.81 | (5034) sdtpldt0(xn, xm) = all_501_0_2763 % 115.15/81.81 | (5035) sdtpldt0(xm, xn) = all_501_1_2764 % 115.15/81.81 | (5036) ~ (all_501_1_2764 = all_501_2_2765) % 115.15/81.81 | (5037) sdtlseqdt0(all_501_2_2765, all_501_1_2764) % 115.15/81.81 | (5038) sdtpldt0(xm, sz10) = all_501_2_2765 % 115.15/81.81 | % 115.15/81.81 +-Applying beta-rule and splitting (488), into two cases. % 115.15/81.81 |-Branch one: % 115.15/81.81 | (1372) xn = sz10 % 115.15/81.81 | % 115.15/81.81 | Equations (1372) can reduce 1364 to: % 115.15/81.81 | (174) $false % 115.15/81.81 | % 115.15/81.81 |-The branch is then unsatisfiable % 115.15/81.81 |-Branch two: % 115.15/81.81 | (1364) ~ (xn = sz10) % 115.15/81.82 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 115.15/81.82 | % 115.15/81.82 | Instantiating (1572) with all_507_0_2766, all_507_1_2767 yields: % 115.15/81.82 | (5043) ~ (all_507_0_2766 = all_507_1_2767) & sdtpldt0(xn, xm) = all_507_0_2766 & sdtpldt0(sz10, xm) = all_507_1_2767 % 115.17/81.82 | % 115.17/81.82 | Applying alpha-rule on (5043) yields: % 115.17/81.82 | (5044) ~ (all_507_0_2766 = all_507_1_2767) % 115.17/81.82 | (5045) sdtpldt0(xn, xm) = all_507_0_2766 % 115.17/81.82 | (5046) sdtpldt0(sz10, xm) = all_507_1_2767 % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (534), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (2697) all_0_4_4 = xm % 115.17/81.82 | % 115.17/81.82 | From (2697) and (1274) follows: % 115.17/81.82 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 115.17/81.82 | % 115.17/81.82 | From (2697) and (144) follows: % 115.17/81.82 | (107) aNaturalNumber0(xm) % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (551), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1372) xn = sz10 % 115.17/81.82 | % 115.17/81.82 | Equations (1372) can reduce 1364 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1364) ~ (xn = sz10) % 115.17/81.82 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.17/81.82 | % 115.17/81.82 | Instantiating (1502) with all_517_0_2768, all_517_1_2769, all_517_2_2770 yields: % 115.17/81.82 | (5054) ~ (all_517_0_2768 = all_83_0_38) & ~ (all_517_1_2769 = all_517_2_2770) & sdtpldt0(xn, xn) = all_517_0_2768 & sdtpldt0(xn, xn) = all_517_1_2769 & sdtpldt0(xn, sz10) = all_517_2_2770 & sdtlseqdt0(all_517_2_2770, all_517_1_2769) & sdtlseqdt0(all_83_0_38, all_517_0_2768) % 115.17/81.82 | % 115.17/81.82 | Applying alpha-rule on (5054) yields: % 115.17/81.82 | (5055) sdtlseqdt0(all_517_2_2770, all_517_1_2769) % 115.17/81.82 | (5056) ~ (all_517_1_2769 = all_517_2_2770) % 115.17/81.82 | (5057) ~ (all_517_0_2768 = all_83_0_38) % 115.17/81.82 | (5058) sdtpldt0(xn, xn) = all_517_1_2769 % 115.17/81.82 | (5059) sdtpldt0(xn, sz10) = all_517_2_2770 % 115.17/81.82 | (5060) sdtpldt0(xn, xn) = all_517_0_2768 % 115.17/81.82 | (5061) sdtlseqdt0(all_83_0_38, all_517_0_2768) % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (1018), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1336) xm = sz00 % 115.17/81.82 | % 115.17/81.82 | Equations (1336) can reduce 1339 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1339) ~ (xm = sz00) % 115.17/81.82 | (1712) all_212_0_127 = xn % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (583), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1372) xn = sz10 % 115.17/81.82 | % 115.17/81.82 | Equations (1372) can reduce 1364 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1364) ~ (xn = sz10) % 115.17/81.82 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 115.17/81.82 | % 115.17/81.82 | Instantiating (1549) with all_527_0_2771, all_527_1_2772, all_527_2_2773 yields: % 115.17/81.82 | (5070) ~ (all_527_0_2771 = xp) & ~ (all_527_1_2772 = all_527_2_2773) & sdtpldt0(all_52_0_18, xn) = all_527_1_2772 & sdtpldt0(all_52_0_18, sz10) = all_527_2_2773 & sdtpldt0(xn, all_52_0_18) = all_527_0_2771 & sdtlseqdt0(all_527_2_2773, all_527_1_2772) & sdtlseqdt0(xp, all_527_0_2771) % 115.17/81.82 | % 115.17/81.82 | Applying alpha-rule on (5070) yields: % 115.17/81.82 | (5071) sdtlseqdt0(xp, all_527_0_2771) % 115.17/81.82 | (5072) sdtpldt0(all_52_0_18, xn) = all_527_1_2772 % 115.17/81.82 | (5073) sdtpldt0(all_52_0_18, sz10) = all_527_2_2773 % 115.17/81.82 | (5074) ~ (all_527_0_2771 = xp) % 115.17/81.82 | (5075) sdtpldt0(xn, all_52_0_18) = all_527_0_2771 % 115.17/81.82 | (5076) ~ (all_527_1_2772 = all_527_2_2773) % 115.17/81.82 | (5077) sdtlseqdt0(all_527_2_2773, all_527_1_2772) % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (545), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1372) xn = sz10 % 115.17/81.82 | % 115.17/81.82 | Equations (1372) can reduce 1364 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1364) ~ (xn = sz10) % 115.17/81.82 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 115.17/81.82 | % 115.17/81.82 | Instantiating (1587) with all_533_0_2774, all_533_1_2775, all_533_2_2776 yields: % 115.17/81.82 | (5082) ~ (all_533_0_2774 = all_533_1_2775) & ~ (all_533_2_2776 = all_102_2_49) & sdtpldt0(xm, xn) = all_533_2_2776 & sdtpldt0(xn, xm) = all_533_0_2774 & sdtpldt0(sz10, xm) = all_533_1_2775 & sdtlseqdt0(all_533_1_2775, all_533_0_2774) & sdtlseqdt0(all_102_2_49, all_533_2_2776) % 115.17/81.82 | % 115.17/81.82 | Applying alpha-rule on (5082) yields: % 115.17/81.82 | (5083) sdtpldt0(xm, xn) = all_533_2_2776 % 115.17/81.82 | (5084) ~ (all_533_0_2774 = all_533_1_2775) % 115.17/81.82 | (5085) ~ (all_533_2_2776 = all_102_2_49) % 115.17/81.82 | (5086) sdtlseqdt0(all_533_1_2775, all_533_0_2774) % 115.17/81.82 | (5087) sdtlseqdt0(all_102_2_49, all_533_2_2776) % 115.17/81.82 | (5088) sdtpldt0(sz10, xm) = all_533_1_2775 % 115.17/81.82 | (5089) sdtpldt0(xn, xm) = all_533_0_2774 % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (1300), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1336) xm = sz00 % 115.17/81.82 | % 115.17/81.82 | Equations (1336) can reduce 1339 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1339) ~ (xm = sz00) % 115.17/81.82 | (1477) all_214_0_128 = xn % 115.17/81.82 | % 115.17/81.82 | From (1477) and (725) follows: % 115.17/81.82 | (113) aNaturalNumber0(xn) % 115.17/81.82 | % 115.17/81.82 +-Applying beta-rule and splitting (547), into two cases. % 115.17/81.82 |-Branch one: % 115.17/81.82 | (1372) xn = sz10 % 115.17/81.82 | % 115.17/81.82 | Equations (1372) can reduce 1364 to: % 115.17/81.82 | (174) $false % 115.17/81.82 | % 115.17/81.82 |-The branch is then unsatisfiable % 115.17/81.82 |-Branch two: % 115.17/81.82 | (1364) ~ (xn = sz10) % 115.17/81.82 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.17/81.82 | % 115.17/81.82 | Instantiating (1433) with all_543_0_2777, all_543_1_2778, all_543_2_2779 yields: % 115.17/81.82 | (5099) ~ (all_543_0_2777 = all_83_2_40) & ~ (all_543_1_2778 = all_543_2_2779) & sdtpldt0(sz10, xn) = all_543_1_2778 & sdtpldt0(sz10, sz10) = all_543_0_2777 & sdtpldt0(sz10, sz10) = all_543_2_2779 & sdtlseqdt0(all_543_0_2777, all_83_2_40) & sdtlseqdt0(all_543_2_2779, all_543_1_2778) % 115.17/81.82 | % 115.17/81.83 | Applying alpha-rule on (5099) yields: % 115.17/81.83 | (5100) sdtpldt0(sz10, sz10) = all_543_0_2777 % 115.17/81.83 | (5101) sdtlseqdt0(all_543_2_2779, all_543_1_2778) % 115.17/81.83 | (5102) sdtlseqdt0(all_543_0_2777, all_83_2_40) % 115.17/81.83 | (5103) sdtpldt0(sz10, xn) = all_543_1_2778 % 115.17/81.83 | (5104) sdtpldt0(sz10, sz10) = all_543_2_2779 % 115.17/81.83 | (5105) ~ (all_543_0_2777 = all_83_2_40) % 115.17/81.83 | (5106) ~ (all_543_1_2778 = all_543_2_2779) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (543), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.17/81.83 | % 115.17/81.83 | Instantiating (1421) with all_549_0_2780, all_549_1_2781, all_549_2_2782 yields: % 115.17/81.83 | (5111) ~ (all_549_0_2780 = all_0_4_4) & ~ (all_549_1_2781 = all_549_2_2782) & sdtpldt0(xm, xn) = all_549_1_2781 & sdtpldt0(xm, sz10) = all_549_2_2782 & sdtpldt0(sz10, xm) = all_549_0_2780 & sdtlseqdt0(all_549_0_2780, all_0_4_4) & sdtlseqdt0(all_549_2_2782, all_549_1_2781) % 115.17/81.83 | % 115.17/81.83 | Applying alpha-rule on (5111) yields: % 115.17/81.83 | (5112) sdtpldt0(xm, sz10) = all_549_2_2782 % 115.17/81.83 | (5113) ~ (all_549_1_2781 = all_549_2_2782) % 115.17/81.83 | (5114) sdtpldt0(sz10, xm) = all_549_0_2780 % 115.17/81.83 | (5115) sdtpldt0(xm, xn) = all_549_1_2781 % 115.17/81.83 | (5116) sdtlseqdt0(all_549_0_2780, all_0_4_4) % 115.17/81.83 | (5117) sdtlseqdt0(all_549_2_2782, all_549_1_2781) % 115.17/81.83 | (5118) ~ (all_549_0_2780 = all_0_4_4) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (1391), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (548), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (1382), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1392) xr = sz10 % 115.17/81.83 | % 115.17/81.83 | Combining equations (310,1392) yields a new equation: % 115.17/81.83 | (1371) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Simplifying 1371 yields: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1396) ~ (xr = sz10) % 115.17/81.83 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.17/81.83 | % 115.17/81.83 | Equations (310) can reduce 1396 to: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (509), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 115.17/81.83 | % 115.17/81.83 +-Applying beta-rule and splitting (544), into two cases. % 115.17/81.83 |-Branch one: % 115.17/81.83 | (1372) xn = sz10 % 115.17/81.83 | % 115.17/81.83 | Equations (1372) can reduce 1364 to: % 115.17/81.83 | (174) $false % 115.17/81.83 | % 115.17/81.83 |-The branch is then unsatisfiable % 115.17/81.83 |-Branch two: % 115.17/81.83 | (1364) ~ (xn = sz10) % 115.17/81.83 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.17/81.83 | % 115.17/81.83 | Instantiating (1411) with all_577_0_2790, all_577_1_2791, all_577_2_2792 yields: % 115.17/81.83 | (5142) ~ (all_577_0_2790 = all_577_1_2791) & ~ (all_577_2_2792 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = all_577_2_2792 & sdtpldt0(xn, all_0_4_4) = all_577_0_2790 & sdtpldt0(sz10, all_0_4_4) = all_577_1_2791 & sdtlseqdt0(all_577_1_2791, all_577_0_2790) & sdtlseqdt0(all_97_2_46, all_577_2_2792) % 115.17/81.83 | % 115.17/81.83 | Applying alpha-rule on (5142) yields: % 115.17/81.83 | (5143) sdtpldt0(xn, all_0_4_4) = all_577_0_2790 % 115.17/81.83 | (5144) ~ (all_577_2_2792 = all_97_2_46) % 115.17/81.83 | (5145) ~ (all_577_0_2790 = all_577_1_2791) % 115.17/81.83 | (5146) sdtlseqdt0(all_577_1_2791, all_577_0_2790) % 115.17/81.83 | (5147) sdtpldt0(sz10, all_0_4_4) = all_577_1_2791 % 115.17/81.83 | (5148) sdtlseqdt0(all_97_2_46, all_577_2_2792) % 115.17/81.83 | (5149) sdtpldt0(all_0_4_4, xn) = all_577_2_2792 % 115.17/81.83 | % 115.17/81.83 | From (2697) and (5147) follows: % 115.17/81.83 | (5150) sdtpldt0(sz10, xm) = all_577_1_2791 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with all_52_0_18, sz10, xn, all_527_2_2773 and discharging atoms sdtpldt0(all_52_0_18, sz10) = all_527_2_2773, sdtpldt0(all_52_0_18, sz10) = xn, yields: % 115.17/81.83 | (5151) all_527_2_2773 = xn % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with xn, sz10, all_495_0_2760, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_2760, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 115.17/81.83 | (5152) all_495_0_2760 = all_83_2_40 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with xn, sz10, all_495_0_2760, all_517_2_2770 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_2770, sdtpldt0(xn, sz10) = all_495_0_2760, yields: % 115.17/81.83 | (5153) all_517_2_2770 = all_495_0_2760 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_2770 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_2770, sdtpldt0(xn, sz10) = sz10, yields: % 115.17/81.83 | (5154) all_517_2_2770 = sz10 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (77) with xn, all_166_0_68, all_52_0_18, sz10 and discharging atoms sdtpldt0(sz10, all_166_0_68) = xn, sdtpldt0(sz10, all_52_0_18) = xn, aNaturalNumber0(all_166_0_68), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), yields: % 115.17/81.83 | (3360) all_166_0_68 = all_52_0_18 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with sz10, xm, all_577_1_2791, all_102_2_49 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_2791, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 115.17/81.83 | (5156) all_577_1_2791 = all_102_2_49 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with sz10, xm, all_533_1_2775, all_549_0_2780 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_2780, sdtpldt0(sz10, xm) = all_533_1_2775, yields: % 115.17/81.83 | (5157) all_549_0_2780 = all_533_1_2775 % 115.17/81.83 | % 115.17/81.83 | Instantiating formula (16) with sz10, xm, all_507_1_2767, all_577_1_2791 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_2791, sdtpldt0(sz10, xm) = all_507_1_2767, yields: % 115.17/81.84 | (5158) all_577_1_2791 = all_507_1_2767 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, xm, all_507_1_2767, all_533_1_2775 and discharging atoms sdtpldt0(sz10, xm) = all_533_1_2775, sdtpldt0(sz10, xm) = all_507_1_2767, yields: % 115.17/81.84 | (5159) all_533_1_2775 = all_507_1_2767 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, xm, all_490_1_2758, all_577_1_2791 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_2791, sdtpldt0(sz10, xm) = all_490_1_2758, yields: % 115.17/81.84 | (5160) all_577_1_2791 = all_490_1_2758 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, xm, all_484_0_2755, all_549_0_2780 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_2780, sdtpldt0(sz10, xm) = all_484_0_2755, yields: % 115.17/81.84 | (5161) all_549_0_2780 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, xm, all_97_2_46, all_577_1_2791 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_2791, sdtpldt0(sz10, xm) = all_97_2_46, yields: % 115.17/81.84 | (5162) all_577_1_2791 = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, sz10, all_543_2_2779, all_543_0_2777 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_2777, sdtpldt0(sz10, sz10) = all_543_2_2779, yields: % 115.17/81.84 | (5163) all_543_0_2777 = all_543_2_2779 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, sz10, all_495_1_2761, all_543_0_2777 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_2777, sdtpldt0(sz10, sz10) = all_495_1_2761, yields: % 115.17/81.84 | (5164) all_543_0_2777 = all_495_1_2761 % 115.17/81.84 | % 115.17/81.84 | Instantiating formula (16) with sz10, sz10, all_495_2_2762, all_543_2_2779 and discharging atoms sdtpldt0(sz10, sz10) = all_543_2_2779, sdtpldt0(sz10, sz10) = all_495_2_2762, yields: % 115.17/81.84 | (5165) all_543_2_2779 = all_495_2_2762 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5162,5160) yields a new equation: % 115.17/81.84 | (5166) all_490_1_2758 = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5156,5160) yields a new equation: % 115.17/81.84 | (5167) all_490_1_2758 = all_102_2_49 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5158,5160) yields a new equation: % 115.17/81.84 | (5168) all_507_1_2767 = all_490_1_2758 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5168 yields: % 115.17/81.84 | (5169) all_507_1_2767 = all_490_1_2758 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5157,5161) yields a new equation: % 115.17/81.84 | (5170) all_533_1_2775 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5170 yields: % 115.17/81.84 | (5171) all_533_1_2775 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5163,5164) yields a new equation: % 115.17/81.84 | (5172) all_543_2_2779 = all_495_1_2761 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5172 yields: % 115.17/81.84 | (5173) all_543_2_2779 = all_495_1_2761 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5165,5173) yields a new equation: % 115.17/81.84 | (5174) all_495_1_2761 = all_495_2_2762 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5159,5171) yields a new equation: % 115.17/81.84 | (5175) all_507_1_2767 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5175 yields: % 115.17/81.84 | (5176) all_507_1_2767 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5153,5154) yields a new equation: % 115.17/81.84 | (5177) all_495_0_2760 = sz10 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5177 yields: % 115.17/81.84 | (5178) all_495_0_2760 = sz10 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5169,5176) yields a new equation: % 115.17/81.84 | (5179) all_490_1_2758 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Simplifying 5179 yields: % 115.17/81.84 | (5180) all_490_1_2758 = all_484_0_2755 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5152,5178) yields a new equation: % 115.17/81.84 | (3386) all_83_2_40 = sz10 % 115.17/81.84 | % 115.17/81.84 | Simplifying 3386 yields: % 115.17/81.84 | (2392) all_83_2_40 = sz10 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5166,5180) yields a new equation: % 115.17/81.84 | (5183) all_484_0_2755 = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5167,5180) yields a new equation: % 115.17/81.84 | (5184) all_484_0_2755 = all_102_2_49 % 115.17/81.84 | % 115.17/81.84 | Combining equations (5184,5183) yields a new equation: % 115.17/81.84 | (3390) all_102_2_49 = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | Simplifying 3390 yields: % 115.17/81.84 | (2813) all_102_2_49 = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | From (5151) and (5073) follows: % 115.17/81.84 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 115.17/81.84 | % 115.17/81.84 | From (2813) and (376) follows: % 115.17/81.84 | (2698) sdtpldt0(xm, sz10) = all_97_2_46 % 115.17/81.84 | % 115.17/81.84 | From (2392) and (337) follows: % 115.17/81.84 | (2640) sdtpldt0(xn, sz10) = sz10 % 115.17/81.84 | % 115.17/81.84 | From (3360) and (619) follows: % 115.17/81.85 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 115.17/81.85 | % 115.17/81.85 | From (2813) and (494) follows: % 115.17/81.85 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 115.17/81.85 | % 115.17/81.85 | From (2392) and (504) follows: % 115.17/81.85 | (3397) sdtpldt0(sz10, xn) = sz10 % 115.17/81.85 | % 115.17/81.85 | From (5174) and (5022) follows: % 115.17/81.85 | (5026) sdtpldt0(sz10, sz10) = all_495_2_2762 % 115.17/81.85 | % 115.17/81.85 | From (2392) and (1194) follows: % 115.17/81.85 | (239) sdtlseqdt0(sz10, xn) % 115.17/81.85 | % 115.17/81.85 | From (3360) and (620) follows: % 115.17/81.85 | (266) aNaturalNumber0(all_52_0_18) % 115.17/81.85 | % 115.17/81.85 | From (2392) and (1199) follows: % 115.17/81.85 | (52) aNaturalNumber0(sz10) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (22) with sz10, sz10, xn and discharging atoms sdtpldt0(xn, sz10) = sz10, aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 115.17/81.85 | (1366) sdtlseqdt0(xn, sz10) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (61) with sz00, xn and discharging atoms sdtlseqdt0(xn, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3403) ? [v0] : (sdtpldt0(xn, v0) = sz00 & aNaturalNumber0(v0)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (7) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3404) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (94) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3405) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (67) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(all_52_0_18, sz10) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3406) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (67) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3407) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (67) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(xn, sz10) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3408) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (97) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3409) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (97) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3410) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (97) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(sz10, xn) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (3411) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (67) with all_495_2_2762, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_2762, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (5207) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_2762) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_2762, v0)) % 115.17/81.85 | % 115.17/81.85 | Instantiating formula (97) with all_495_2_2762, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_2762, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.17/81.85 | (5208) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_2762) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_2762, v2)) % 115.17/81.85 | % 115.17/81.85 | Instantiating (3403) with all_747_0_2925 yields: % 115.17/81.85 | (5209) sdtpldt0(xn, all_747_0_2925) = sz00 & aNaturalNumber0(all_747_0_2925) % 115.17/81.85 | % 115.17/81.85 | Applying alpha-rule on (5209) yields: % 115.17/81.85 | (5210) sdtpldt0(xn, all_747_0_2925) = sz00 % 115.17/81.85 | (5211) aNaturalNumber0(all_747_0_2925) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3404), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3440) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3405), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3432) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3406), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3424) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3407), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3444) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3410), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3420) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 115.17/81.85 | % 115.17/81.85 +-Applying beta-rule and splitting (3408), into two cases. % 115.17/81.85 |-Branch one: % 115.17/81.85 | (1337) sz10 = sz00 % 115.17/81.85 | % 115.17/81.85 | Equations (1337) can reduce 88 to: % 115.17/81.85 | (174) $false % 115.17/81.85 | % 115.17/81.85 |-The branch is then unsatisfiable % 115.17/81.85 |-Branch two: % 115.17/81.85 | (88) ~ (sz10 = sz00) % 115.17/81.85 | (3428) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 115.17/81.85 | % 115.17/81.86 +-Applying beta-rule and splitting (3409), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1337) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Equations (1337) can reduce 88 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (88) ~ (sz10 = sz00) % 115.17/81.86 | (3436) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (3411), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1337) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Equations (1337) can reduce 88 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (88) ~ (sz10 = sz00) % 115.17/81.86 | (3456) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (5207), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1337) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Equations (1337) can reduce 88 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (88) ~ (sz10 = sz00) % 115.17/81.86 | (5247) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_2762) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_2762, v0)) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (5208), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1337) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Equations (1337) can reduce 88 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (88) ~ (sz10 = sz00) % 115.17/81.86 | (5251) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_2762) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_2762, v2)) % 115.17/81.86 | % 115.17/81.86 | Instantiating formula (2) with xn, sz10 and discharging atoms sdtlseqdt0(xn, sz10), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 115.17/81.86 | (1372) xn = sz10 % 115.17/81.86 | % 115.17/81.86 | Instantiating formula (87) with all_747_0_2925, xn and discharging atoms sdtpldt0(xn, all_747_0_2925) = sz00, aNaturalNumber0(all_747_0_2925), aNaturalNumber0(xn), yields: % 115.17/81.86 | (1379) xn = sz00 % 115.17/81.86 | % 115.17/81.86 | Combining equations (1372,1379) yields a new equation: % 115.17/81.86 | (1793) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Simplifying 1793 yields: % 115.17/81.86 | (1337) sz10 = sz00 % 115.17/81.86 | % 115.17/81.86 | Equations (1337) can reduce 88 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.86 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 115.17/81.86 | % 115.17/81.86 | Instantiating (2889) with all_513_0_3252, all_513_1_3253, all_513_2_3254 yields: % 115.17/81.86 | (5259) ~ (all_513_0_3252 = all_513_1_3253) & ~ (all_513_2_3254 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_3252 & sdtpldt0(xm, xn) = all_513_1_3253 & sdtpldt0(xn, all_0_4_4) = all_513_2_3254 & sdtlseqdt0(all_513_1_3253, all_513_0_3252) & sdtlseqdt0(all_0_4_4, all_513_2_3254) % 115.17/81.86 | % 115.17/81.86 | Applying alpha-rule on (5259) yields: % 115.17/81.86 | (5260) sdtpldt0(xm, xn) = all_513_1_3253 % 115.17/81.86 | (5261) sdtlseqdt0(all_0_4_4, all_513_2_3254) % 115.17/81.86 | (5262) sdtpldt0(all_0_4_4, xn) = all_513_0_3252 % 115.17/81.86 | (5263) ~ (all_513_2_3254 = all_0_4_4) % 115.17/81.86 | (5264) ~ (all_513_0_3252 = all_513_1_3253) % 115.17/81.86 | (5265) sdtpldt0(xn, all_0_4_4) = all_513_2_3254 % 115.17/81.86 | (5266) sdtlseqdt0(all_513_1_3253, all_513_0_3252) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (551), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1372) xn = sz10 % 115.17/81.86 | % 115.17/81.86 | Equations (1372) can reduce 1364 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (1364) ~ (xn = sz10) % 115.17/81.86 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (583), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1372) xn = sz10 % 115.17/81.86 | % 115.17/81.86 | Equations (1372) can reduce 1364 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (1364) ~ (xn = sz10) % 115.17/81.86 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (545), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.86 | (1372) xn = sz10 % 115.17/81.86 | % 115.17/81.86 | Equations (1372) can reduce 1364 to: % 115.17/81.86 | (174) $false % 115.17/81.86 | % 115.17/81.86 |-The branch is then unsatisfiable % 115.17/81.86 |-Branch two: % 115.17/81.86 | (1364) ~ (xn = sz10) % 115.17/81.86 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 115.17/81.86 | % 115.17/81.86 | Instantiating (1587) with all_535_0_3261, all_535_1_3262, all_535_2_3263 yields: % 115.17/81.86 | (5279) ~ (all_535_0_3261 = all_535_1_3262) & ~ (all_535_2_3263 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_3263 & sdtpldt0(xn, xm) = all_535_0_3261 & sdtpldt0(sz10, xm) = all_535_1_3262 & sdtlseqdt0(all_535_1_3262, all_535_0_3261) & sdtlseqdt0(all_102_2_49, all_535_2_3263) % 115.17/81.86 | % 115.17/81.86 | Applying alpha-rule on (5279) yields: % 115.17/81.86 | (5280) sdtpldt0(xn, xm) = all_535_0_3261 % 115.17/81.86 | (5281) sdtpldt0(xm, xn) = all_535_2_3263 % 115.17/81.86 | (5282) ~ (all_535_2_3263 = all_102_2_49) % 115.17/81.86 | (5283) ~ (all_535_0_3261 = all_535_1_3262) % 115.17/81.86 | (5284) sdtlseqdt0(all_102_2_49, all_535_2_3263) % 115.17/81.86 | (5285) sdtlseqdt0(all_535_1_3262, all_535_0_3261) % 115.17/81.86 | (5286) sdtpldt0(sz10, xm) = all_535_1_3262 % 115.17/81.86 | % 115.17/81.86 +-Applying beta-rule and splitting (533), into two cases. % 115.17/81.86 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (516), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (547), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (511), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 115.17/81.87 | % 115.17/81.87 | Instantiating (1576) with all_559_0_3272, all_559_1_3273 yields: % 115.17/81.87 | (5303) ~ (all_559_0_3272 = all_559_1_3273) & sdtpldt0(xm, xn) = all_559_1_3273 & sdtpldt0(xm, sz10) = all_559_0_3272 % 115.17/81.87 | % 115.17/81.87 | Applying alpha-rule on (5303) yields: % 115.17/81.87 | (5304) ~ (all_559_0_3272 = all_559_1_3273) % 115.17/81.87 | (5305) sdtpldt0(xm, xn) = all_559_1_3273 % 115.17/81.87 | (5306) sdtpldt0(xm, sz10) = all_559_0_3272 % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (491), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (535), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (548), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (544), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (536), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (509), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (515), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (507), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (538), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (2697) all_0_4_4 = xm % 115.17/81.87 | % 115.17/81.87 | Equations (2697) can reduce 2888 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.87 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (510), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 115.17/81.87 | % 115.17/81.87 | Instantiating (1490) with all_623_0_3297, all_623_1_3298 yields: % 115.17/81.87 | (5347) ~ (all_623_0_3297 = all_623_1_3298) & sdtpldt0(xm, xn) = all_623_0_3297 & sdtpldt0(xm, sz10) = all_623_1_3298 % 115.17/81.87 | % 115.17/81.87 | Applying alpha-rule on (5347) yields: % 115.17/81.87 | (5348) ~ (all_623_0_3297 = all_623_1_3298) % 115.17/81.87 | (5349) sdtpldt0(xm, xn) = all_623_0_3297 % 115.17/81.87 | (5350) sdtpldt0(xm, sz10) = all_623_1_3298 % 115.17/81.87 | % 115.17/81.87 +-Applying beta-rule and splitting (543), into two cases. % 115.17/81.87 |-Branch one: % 115.17/81.87 | (1372) xn = sz10 % 115.17/81.87 | % 115.17/81.87 | Equations (1372) can reduce 1364 to: % 115.17/81.87 | (174) $false % 115.17/81.87 | % 115.17/81.87 |-The branch is then unsatisfiable % 115.17/81.87 |-Branch two: % 115.17/81.87 | (1364) ~ (xn = sz10) % 115.17/81.87 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.17/81.87 | % 115.17/81.87 | Instantiating (1421) with all_633_0_3299, all_633_1_3300, all_633_2_3301 yields: % 115.17/81.87 | (5355) ~ (all_633_0_3299 = all_0_4_4) & ~ (all_633_1_3300 = all_633_2_3301) & sdtpldt0(xm, xn) = all_633_1_3300 & sdtpldt0(xm, sz10) = all_633_2_3301 & sdtpldt0(sz10, xm) = all_633_0_3299 & sdtlseqdt0(all_633_0_3299, all_0_4_4) & sdtlseqdt0(all_633_2_3301, all_633_1_3300) % 115.17/81.87 | % 115.17/81.88 | Applying alpha-rule on (5355) yields: % 115.17/81.88 | (5356) sdtlseqdt0(all_633_0_3299, all_0_4_4) % 115.17/81.88 | (5357) sdtpldt0(xm, sz10) = all_633_2_3301 % 115.17/81.88 | (5358) ~ (all_633_1_3300 = all_633_2_3301) % 115.17/81.88 | (5359) sdtlseqdt0(all_633_2_3301, all_633_1_3300) % 115.17/81.88 | (5360) sdtpldt0(sz10, xm) = all_633_0_3299 % 115.17/81.88 | (5361) ~ (all_633_0_3299 = all_0_4_4) % 115.17/81.88 | (5362) sdtpldt0(xm, xn) = all_633_1_3300 % 115.17/81.88 | % 115.17/81.88 +-Applying beta-rule and splitting (512), into two cases. % 115.17/81.88 |-Branch one: % 115.17/81.88 | (2697) all_0_4_4 = xm % 115.17/81.88 | % 115.17/81.88 | Equations (2697) can reduce 2888 to: % 115.17/81.88 | (174) $false % 115.17/81.88 | % 115.17/81.88 |-The branch is then unsatisfiable % 115.17/81.88 |-Branch two: % 115.17/81.88 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.88 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 115.17/81.88 | % 115.17/81.88 +-Applying beta-rule and splitting (537), into two cases. % 115.17/81.88 |-Branch one: % 115.17/81.88 | (2697) all_0_4_4 = xm % 115.17/81.88 | % 115.17/81.88 | Equations (2697) can reduce 2888 to: % 115.17/81.88 | (174) $false % 115.17/81.88 | % 115.17/81.88 |-The branch is then unsatisfiable % 115.17/81.88 |-Branch two: % 115.17/81.88 | (2888) ~ (all_0_4_4 = xm) % 115.17/81.88 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_623_0_3297, all_633_1_3300 and discharging atoms sdtpldt0(xm, xn) = all_633_1_3300, sdtpldt0(xm, xn) = all_623_0_3297, yields: % 115.17/81.88 | (5371) all_633_1_3300 = all_623_0_3297 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_559_1_3273, all_633_1_3300 and discharging atoms sdtpldt0(xm, xn) = all_633_1_3300, sdtpldt0(xm, xn) = all_559_1_3273, yields: % 115.17/81.88 | (5372) all_633_1_3300 = all_559_1_3273 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_535_2_3263, all_623_0_3297 and discharging atoms sdtpldt0(xm, xn) = all_623_0_3297, sdtpldt0(xm, xn) = all_535_2_3263, yields: % 115.17/81.88 | (5373) all_623_0_3297 = all_535_2_3263 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_513_1_3253, all_623_0_3297 and discharging atoms sdtpldt0(xm, xn) = all_623_0_3297, sdtpldt0(xm, xn) = all_513_1_3253, yields: % 115.17/81.88 | (5374) all_623_0_3297 = all_513_1_3253 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_501_1_2764, all_623_0_3297 and discharging atoms sdtpldt0(xm, xn) = all_623_0_3297, sdtpldt0(xm, xn) = all_501_1_2764, yields: % 115.17/81.88 | (5375) all_623_0_3297 = all_501_1_2764 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_484_1_2756, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_2756, sdtpldt0(xm, xn) = all_0_4_4, yields: % 115.17/81.88 | (5376) all_484_1_2756 = all_0_4_4 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, all_484_1_2756, all_623_0_3297 and discharging atoms sdtpldt0(xm, xn) = all_623_0_3297, sdtpldt0(xm, xn) = all_484_1_2756, yields: % 115.17/81.88 | (5377) all_623_0_3297 = all_484_1_2756 % 115.17/81.88 | % 115.17/81.88 | Instantiating formula (16) with xm, xn, xm, all_623_0_3297 and discharging atoms sdtpldt0(xm, xn) = all_623_0_3297, sdtpldt0(xm, xn) = xm, yields: % 115.17/81.88 | (5378) all_623_0_3297 = xm % 115.17/81.88 | % 115.17/81.88 | Combining equations (5371,5372) yields a new equation: % 115.17/81.88 | (5379) all_623_0_3297 = all_559_1_3273 % 115.17/81.88 | % 115.17/81.88 | Simplifying 5379 yields: % 115.17/81.88 | (5380) all_623_0_3297 = all_559_1_3273 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5374,5380) yields a new equation: % 115.17/81.88 | (5381) all_559_1_3273 = all_513_1_3253 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5377,5380) yields a new equation: % 115.17/81.88 | (5382) all_559_1_3273 = all_484_1_2756 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5373,5380) yields a new equation: % 115.17/81.88 | (5383) all_559_1_3273 = all_535_2_3263 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5378,5380) yields a new equation: % 115.17/81.88 | (5384) all_559_1_3273 = xm % 115.17/81.88 | % 115.17/81.88 | Combining equations (5375,5380) yields a new equation: % 115.17/81.88 | (5385) all_559_1_3273 = all_501_1_2764 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5382,5383) yields a new equation: % 115.17/81.88 | (5386) all_535_2_3263 = all_484_1_2756 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5381,5383) yields a new equation: % 115.17/81.88 | (5387) all_535_2_3263 = all_513_1_3253 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5384,5383) yields a new equation: % 115.17/81.88 | (5388) all_535_2_3263 = xm % 115.17/81.88 | % 115.17/81.88 | Combining equations (5385,5383) yields a new equation: % 115.17/81.88 | (5389) all_535_2_3263 = all_501_1_2764 % 115.17/81.88 | % 115.17/81.88 | Combining equations (5388,5387) yields a new equation: % 115.17/81.88 | (5390) all_513_1_3253 = xm % 115.17/81.88 | % 115.17/81.88 | Combining equations (5386,5387) yields a new equation: % 115.17/81.88 | (5391) all_513_1_3253 = all_484_1_2756 % 115.17/81.88 | % 115.17/81.89 | Combining equations (5389,5387) yields a new equation: % 115.17/81.89 | (5392) all_513_1_3253 = all_501_1_2764 % 115.17/81.89 | % 115.17/81.89 | Combining equations (5390,5392) yields a new equation: % 115.17/81.89 | (5393) all_501_1_2764 = xm % 115.17/81.89 | % 115.17/81.89 | Combining equations (5391,5392) yields a new equation: % 115.17/81.89 | (5394) all_501_1_2764 = all_484_1_2756 % 115.17/81.89 | % 115.17/81.89 | Combining equations (5394,5393) yields a new equation: % 115.17/81.89 | (5395) all_484_1_2756 = xm % 115.17/81.89 | % 115.17/81.89 | Simplifying 5395 yields: % 115.17/81.89 | (5396) all_484_1_2756 = xm % 115.17/81.89 | % 115.17/81.89 | Combining equations (5396,5376) yields a new equation: % 115.17/81.89 | (2697) all_0_4_4 = xm % 115.17/81.89 | % 115.17/81.89 | Equations (2697) can reduce 2888 to: % 115.17/81.89 | (174) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (3604) ~ sdtlseqdt0(xp, sz00) % 115.17/81.89 | (3605) sdtlseqdt0(sz00, xp) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (137), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | From (1336) and (479) follows: % 115.17/81.89 | (1330) sdtlseqdt0(xp, sz00) % 115.17/81.89 | % 115.17/81.89 | Using (1330) and (3604) yields: % 115.17/81.89 | (1719) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (194), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | Equations (1336) can reduce 1339 to: % 115.17/81.89 | (174) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (1302), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | Equations (1336) can reduce 1339 to: % 115.17/81.89 | (174) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (1361) xp = xn % 115.17/81.89 | % 115.17/81.89 | From (1361) and (3604) follows: % 115.17/81.89 | (3619) ~ sdtlseqdt0(xn, sz00) % 115.17/81.89 | % 115.17/81.89 | Using (1329) and (3619) yields: % 115.17/81.89 | (1719) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (3621) ~ sdtlseqdt0(xr, sz00) % 115.17/81.89 | (3622) sdtlseqdt0(sz00, xr) % 115.17/81.89 | % 115.17/81.89 | From (310) and (3621) follows: % 115.17/81.89 | (3619) ~ sdtlseqdt0(xn, sz00) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (151), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1330) sdtlseqdt0(xp, sz00) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (137), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | From (1336) and (4610) follows: % 115.17/81.89 | (154) sdtlseqdt0(sz00, sz00) % 115.17/81.89 | % 115.17/81.89 | From (1336) and (3045) follows: % 115.17/81.89 | (3628) ~ sdtlseqdt0(sz00, sz00) % 115.17/81.89 | % 115.17/81.89 | Using (154) and (3628) yields: % 115.17/81.89 | (1719) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (194), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | Equations (1336) can reduce 1339 to: % 115.17/81.89 | (174) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.17/81.89 | % 115.17/81.89 +-Applying beta-rule and splitting (1302), into two cases. % 115.17/81.89 |-Branch one: % 115.17/81.89 | (1336) xm = sz00 % 115.17/81.89 | % 115.17/81.89 | Equations (1336) can reduce 1339 to: % 115.17/81.89 | (174) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.89 | (1339) ~ (xm = sz00) % 115.17/81.89 | (1361) xp = xn % 115.17/81.89 | % 115.17/81.89 | From (1361) and (1330) follows: % 115.17/81.89 | (1329) sdtlseqdt0(xn, sz00) % 115.17/81.89 | % 115.17/81.89 | Using (1329) and (3619) yields: % 115.17/81.89 | (1719) $false % 115.17/81.89 | % 115.17/81.89 |-The branch is then unsatisfiable % 115.17/81.89 |-Branch two: % 115.17/81.90 | (3604) ~ sdtlseqdt0(xp, sz00) % 115.17/81.90 | (3605) sdtlseqdt0(sz00, xp) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (147), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1379) xn = sz00 % 115.17/81.90 | % 115.17/81.90 | From (1379) and (9) follows: % 115.17/81.90 | (1330) sdtlseqdt0(xp, sz00) % 115.17/81.90 | % 115.17/81.90 | Using (1330) and (3604) yields: % 115.17/81.90 | (1719) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1365) ~ (xn = sz00) % 115.17/81.90 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (1021), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1379) xn = sz00 % 115.17/81.90 | % 115.17/81.90 | Equations (1379) can reduce 1365 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1365) ~ (xn = sz00) % 115.17/81.90 | (1415) all_146_0_54 = xm % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (127), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1377) xr = sz00 % 115.17/81.90 | % 115.17/81.90 | Combining equations (1377,310) yields a new equation: % 115.17/81.90 | (1379) xn = sz00 % 115.17/81.90 | % 115.17/81.90 | Equations (1379) can reduce 1365 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1381) ~ (xr = sz00) % 115.17/81.90 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (137), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1336) xm = sz00 % 115.17/81.90 | % 115.17/81.90 | From (1336) and (479) follows: % 115.17/81.90 | (1330) sdtlseqdt0(xp, sz00) % 115.17/81.90 | % 115.17/81.90 | Using (1330) and (3604) yields: % 115.17/81.90 | (1719) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1339) ~ (xm = sz00) % 115.17/81.90 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (194), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1336) xm = sz00 % 115.17/81.90 | % 115.17/81.90 | Equations (1336) can reduce 1339 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1339) ~ (xm = sz00) % 115.17/81.90 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (1302), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1336) xm = sz00 % 115.17/81.90 | % 115.17/81.90 | Equations (1336) can reduce 1339 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1339) ~ (xm = sz00) % 115.17/81.90 | (1361) xp = xn % 115.17/81.90 | % 115.17/81.90 | Equations (1361) can reduce 18 to: % 115.17/81.90 | (1364) ~ (xn = sz10) % 115.17/81.90 | % 115.17/81.90 | From (1361) and (584) follows: % 115.17/81.90 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 115.17/81.90 | % 115.17/81.90 | From (1361) and (1213) follows: % 115.17/81.90 | (2640) sdtpldt0(xn, sz10) = sz10 % 115.17/81.90 | % 115.17/81.90 | From (1361) and (451) follows: % 115.17/81.90 | (2641) sdtpldt0(xm, xn) = xm % 115.17/81.90 | % 115.17/81.90 | From (1361) and (265) follows: % 115.17/81.90 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (490), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1372) xn = sz10 % 115.17/81.90 | % 115.17/81.90 | Equations (1372) can reduce 1364 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1364) ~ (xn = sz10) % 115.17/81.90 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 115.17/81.90 | % 115.17/81.90 | Instantiating (1529) with all_484_0_3548, all_484_1_3549 yields: % 115.17/81.90 | (5474) ~ (all_484_0_3548 = all_0_4_4) & ~ (all_484_1_3549 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_3549 & sdtpldt0(sz10, xm) = all_484_0_3548 % 115.17/81.90 | % 115.17/81.90 | Applying alpha-rule on (5474) yields: % 115.17/81.90 | (5475) ~ (all_484_0_3548 = all_0_4_4) % 115.17/81.90 | (5476) ~ (all_484_1_3549 = all_102_2_49) % 115.17/81.90 | (5477) sdtpldt0(xm, xn) = all_484_1_3549 % 115.17/81.90 | (5478) sdtpldt0(sz10, xm) = all_484_0_3548 % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (542), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1372) xn = sz10 % 115.17/81.90 | % 115.17/81.90 | Equations (1372) can reduce 1364 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1364) ~ (xn = sz10) % 115.17/81.90 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 115.17/81.90 | % 115.17/81.90 | Instantiating (1452) with all_490_0_3550, all_490_1_3551, all_490_2_3552 yields: % 115.17/81.90 | (5483) ~ (all_490_0_3550 = all_490_1_3551) & ~ (all_490_2_3552 = all_0_4_4) & sdtpldt0(xm, sz10) = all_490_2_3552 & sdtpldt0(xn, xm) = all_490_0_3550 & sdtpldt0(sz10, xm) = all_490_1_3551 & sdtlseqdt0(all_490_1_3551, all_490_0_3550) & sdtlseqdt0(all_490_2_3552, all_0_4_4) % 115.17/81.90 | % 115.17/81.90 | Applying alpha-rule on (5483) yields: % 115.17/81.90 | (5484) sdtpldt0(sz10, xm) = all_490_1_3551 % 115.17/81.90 | (5485) sdtlseqdt0(all_490_2_3552, all_0_4_4) % 115.17/81.90 | (5486) sdtpldt0(xn, xm) = all_490_0_3550 % 115.17/81.90 | (5487) ~ (all_490_2_3552 = all_0_4_4) % 115.17/81.90 | (5488) sdtpldt0(xm, sz10) = all_490_2_3552 % 115.17/81.90 | (5489) ~ (all_490_0_3550 = all_490_1_3551) % 115.17/81.90 | (5490) sdtlseqdt0(all_490_1_3551, all_490_0_3550) % 115.17/81.90 | % 115.17/81.90 +-Applying beta-rule and splitting (550), into two cases. % 115.17/81.90 |-Branch one: % 115.17/81.90 | (1372) xn = sz10 % 115.17/81.90 | % 115.17/81.90 | Equations (1372) can reduce 1364 to: % 115.17/81.90 | (174) $false % 115.17/81.90 | % 115.17/81.90 |-The branch is then unsatisfiable % 115.17/81.90 |-Branch two: % 115.17/81.90 | (1364) ~ (xn = sz10) % 115.17/81.90 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.17/81.90 | % 115.17/81.90 | Instantiating (1537) with all_495_0_3553, all_495_1_3554, all_495_2_3555 yields: % 115.17/81.90 | (5495) ~ (all_495_0_3553 = all_495_1_3554) & ~ (all_495_2_3555 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_3553 & sdtpldt0(sz10, sz10) = all_495_1_3554 & sdtpldt0(sz10, sz10) = all_495_2_3555 & sdtlseqdt0(all_495_1_3554, all_495_0_3553) & sdtlseqdt0(all_495_2_3555, all_83_0_38) % 115.17/81.90 | % 115.17/81.90 | Applying alpha-rule on (5495) yields: % 115.17/81.90 | (5496) sdtlseqdt0(all_495_2_3555, all_83_0_38) % 115.47/81.90 | (5497) sdtlseqdt0(all_495_1_3554, all_495_0_3553) % 115.47/81.90 | (5498) sdtpldt0(sz10, sz10) = all_495_1_3554 % 115.47/81.90 | (5499) ~ (all_495_0_3553 = all_495_1_3554) % 115.47/81.90 | (5500) ~ (all_495_2_3555 = all_83_0_38) % 115.47/81.90 | (5501) sdtpldt0(sz10, sz10) = all_495_2_3555 % 115.47/81.90 | (5502) sdtpldt0(xn, sz10) = all_495_0_3553 % 115.47/81.90 | % 115.47/81.90 +-Applying beta-rule and splitting (549), into two cases. % 115.47/81.90 |-Branch one: % 115.47/81.91 | (1372) xn = sz10 % 115.47/81.91 | % 115.47/81.91 | Equations (1372) can reduce 1364 to: % 115.47/81.91 | (174) $false % 115.47/81.91 | % 115.47/81.91 |-The branch is then unsatisfiable % 115.47/81.91 |-Branch two: % 115.47/81.91 | (1364) ~ (xn = sz10) % 115.47/81.91 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 115.47/81.91 | % 115.47/81.91 | Instantiating (1468) with all_501_0_3556, all_501_1_3557, all_501_2_3558 yields: % 115.47/81.91 | (5507) ~ (all_501_0_3556 = all_102_1_48) & ~ (all_501_1_3557 = all_501_2_3558) & sdtpldt0(xm, xn) = all_501_1_3557 & sdtpldt0(xm, sz10) = all_501_2_3558 & sdtpldt0(xn, xm) = all_501_0_3556 & sdtlseqdt0(all_501_2_3558, all_501_1_3557) & sdtlseqdt0(all_102_1_48, all_501_0_3556) % 115.47/81.91 | % 115.47/81.91 | Applying alpha-rule on (5507) yields: % 115.47/81.91 | (5508) sdtlseqdt0(all_501_2_3558, all_501_1_3557) % 115.47/81.91 | (5509) sdtpldt0(xn, xm) = all_501_0_3556 % 115.47/81.91 | (5510) ~ (all_501_1_3557 = all_501_2_3558) % 115.47/81.91 | (5511) sdtpldt0(xm, sz10) = all_501_2_3558 % 115.47/81.91 | (5512) ~ (all_501_0_3556 = all_102_1_48) % 115.47/81.91 | (5513) sdtlseqdt0(all_102_1_48, all_501_0_3556) % 115.47/81.91 | (5514) sdtpldt0(xm, xn) = all_501_1_3557 % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (488), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (1372) xn = sz10 % 115.47/81.91 | % 115.47/81.91 | Equations (1372) can reduce 1364 to: % 115.47/81.91 | (174) $false % 115.47/81.91 | % 115.47/81.91 |-The branch is then unsatisfiable % 115.47/81.91 |-Branch two: % 115.47/81.91 | (1364) ~ (xn = sz10) % 115.47/81.91 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 115.47/81.91 | % 115.47/81.91 | Instantiating (1572) with all_507_0_3559, all_507_1_3560 yields: % 115.47/81.91 | (5519) ~ (all_507_0_3559 = all_507_1_3560) & sdtpldt0(xn, xm) = all_507_0_3559 & sdtpldt0(sz10, xm) = all_507_1_3560 % 115.47/81.91 | % 115.47/81.91 | Applying alpha-rule on (5519) yields: % 115.47/81.91 | (5520) ~ (all_507_0_3559 = all_507_1_3560) % 115.47/81.91 | (5521) sdtpldt0(xn, xm) = all_507_0_3559 % 115.47/81.91 | (5522) sdtpldt0(sz10, xm) = all_507_1_3560 % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (534), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (2697) all_0_4_4 = xm % 115.47/81.91 | % 115.47/81.91 | From (2697) and (1274) follows: % 115.47/81.91 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 115.47/81.91 | % 115.47/81.91 | From (2697) and (144) follows: % 115.47/81.91 | (107) aNaturalNumber0(xm) % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (551), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (1372) xn = sz10 % 115.47/81.91 | % 115.47/81.91 | Equations (1372) can reduce 1364 to: % 115.47/81.91 | (174) $false % 115.47/81.91 | % 115.47/81.91 |-The branch is then unsatisfiable % 115.47/81.91 |-Branch two: % 115.47/81.91 | (1364) ~ (xn = sz10) % 115.47/81.91 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.47/81.91 | % 115.47/81.91 | Instantiating (1502) with all_517_0_3561, all_517_1_3562, all_517_2_3563 yields: % 115.47/81.91 | (5530) ~ (all_517_0_3561 = all_83_0_38) & ~ (all_517_1_3562 = all_517_2_3563) & sdtpldt0(xn, xn) = all_517_0_3561 & sdtpldt0(xn, xn) = all_517_1_3562 & sdtpldt0(xn, sz10) = all_517_2_3563 & sdtlseqdt0(all_517_2_3563, all_517_1_3562) & sdtlseqdt0(all_83_0_38, all_517_0_3561) % 115.47/81.91 | % 115.47/81.91 | Applying alpha-rule on (5530) yields: % 115.47/81.91 | (5531) sdtpldt0(xn, sz10) = all_517_2_3563 % 115.47/81.91 | (5532) sdtpldt0(xn, xn) = all_517_1_3562 % 115.47/81.91 | (5533) ~ (all_517_1_3562 = all_517_2_3563) % 115.47/81.91 | (5534) sdtlseqdt0(all_83_0_38, all_517_0_3561) % 115.47/81.91 | (5535) ~ (all_517_0_3561 = all_83_0_38) % 115.47/81.91 | (5536) sdtpldt0(xn, xn) = all_517_0_3561 % 115.47/81.91 | (5537) sdtlseqdt0(all_517_2_3563, all_517_1_3562) % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (1018), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (1336) xm = sz00 % 115.47/81.91 | % 115.47/81.91 | Equations (1336) can reduce 1339 to: % 115.47/81.91 | (174) $false % 115.47/81.91 | % 115.47/81.91 |-The branch is then unsatisfiable % 115.47/81.91 |-Branch two: % 115.47/81.91 | (1339) ~ (xm = sz00) % 115.47/81.91 | (1712) all_212_0_127 = xn % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (583), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (1372) xn = sz10 % 115.47/81.91 | % 115.47/81.91 | Equations (1372) can reduce 1364 to: % 115.47/81.91 | (174) $false % 115.47/81.91 | % 115.47/81.91 |-The branch is then unsatisfiable % 115.47/81.91 |-Branch two: % 115.47/81.91 | (1364) ~ (xn = sz10) % 115.47/81.91 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 115.47/81.91 | % 115.47/81.91 | Instantiating (1549) with all_527_0_3564, all_527_1_3565, all_527_2_3566 yields: % 115.47/81.91 | (5546) ~ (all_527_0_3564 = xp) & ~ (all_527_1_3565 = all_527_2_3566) & sdtpldt0(all_52_0_18, xn) = all_527_1_3565 & sdtpldt0(all_52_0_18, sz10) = all_527_2_3566 & sdtpldt0(xn, all_52_0_18) = all_527_0_3564 & sdtlseqdt0(all_527_2_3566, all_527_1_3565) & sdtlseqdt0(xp, all_527_0_3564) % 115.47/81.91 | % 115.47/81.91 | Applying alpha-rule on (5546) yields: % 115.47/81.91 | (5547) sdtlseqdt0(xp, all_527_0_3564) % 115.47/81.91 | (5548) sdtpldt0(all_52_0_18, xn) = all_527_1_3565 % 115.47/81.91 | (5549) sdtpldt0(all_52_0_18, sz10) = all_527_2_3566 % 115.47/81.91 | (5550) sdtlseqdt0(all_527_2_3566, all_527_1_3565) % 115.47/81.91 | (5551) sdtpldt0(xn, all_52_0_18) = all_527_0_3564 % 115.47/81.91 | (5552) ~ (all_527_1_3565 = all_527_2_3566) % 115.47/81.91 | (5553) ~ (all_527_0_3564 = xp) % 115.47/81.91 | % 115.47/81.91 +-Applying beta-rule and splitting (545), into two cases. % 115.47/81.91 |-Branch one: % 115.47/81.91 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 115.47/81.92 | % 115.47/81.92 | Instantiating (1587) with all_533_0_3567, all_533_1_3568, all_533_2_3569 yields: % 115.47/81.92 | (5558) ~ (all_533_0_3567 = all_533_1_3568) & ~ (all_533_2_3569 = all_102_2_49) & sdtpldt0(xm, xn) = all_533_2_3569 & sdtpldt0(xn, xm) = all_533_0_3567 & sdtpldt0(sz10, xm) = all_533_1_3568 & sdtlseqdt0(all_533_1_3568, all_533_0_3567) & sdtlseqdt0(all_102_2_49, all_533_2_3569) % 115.47/81.92 | % 115.47/81.92 | Applying alpha-rule on (5558) yields: % 115.47/81.92 | (5559) sdtpldt0(sz10, xm) = all_533_1_3568 % 115.47/81.92 | (5560) ~ (all_533_0_3567 = all_533_1_3568) % 115.47/81.92 | (5561) sdtlseqdt0(all_102_2_49, all_533_2_3569) % 115.47/81.92 | (5562) ~ (all_533_2_3569 = all_102_2_49) % 115.47/81.92 | (5563) sdtlseqdt0(all_533_1_3568, all_533_0_3567) % 115.47/81.92 | (5564) sdtpldt0(xn, xm) = all_533_0_3567 % 115.47/81.92 | (5565) sdtpldt0(xm, xn) = all_533_2_3569 % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (1300), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1336) xm = sz00 % 115.47/81.92 | % 115.47/81.92 | Equations (1336) can reduce 1339 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1339) ~ (xm = sz00) % 115.47/81.92 | (1477) all_214_0_128 = xn % 115.47/81.92 | % 115.47/81.92 | From (1477) and (725) follows: % 115.47/81.92 | (113) aNaturalNumber0(xn) % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (547), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.47/81.92 | % 115.47/81.92 | Instantiating (1433) with all_543_0_3570, all_543_1_3571, all_543_2_3572 yields: % 115.47/81.92 | (5575) ~ (all_543_0_3570 = all_83_2_40) & ~ (all_543_1_3571 = all_543_2_3572) & sdtpldt0(sz10, xn) = all_543_1_3571 & sdtpldt0(sz10, sz10) = all_543_0_3570 & sdtpldt0(sz10, sz10) = all_543_2_3572 & sdtlseqdt0(all_543_0_3570, all_83_2_40) & sdtlseqdt0(all_543_2_3572, all_543_1_3571) % 115.47/81.92 | % 115.47/81.92 | Applying alpha-rule on (5575) yields: % 115.47/81.92 | (5576) ~ (all_543_0_3570 = all_83_2_40) % 115.47/81.92 | (5577) sdtpldt0(sz10, sz10) = all_543_0_3570 % 115.47/81.92 | (5578) ~ (all_543_1_3571 = all_543_2_3572) % 115.47/81.92 | (5579) sdtlseqdt0(all_543_2_3572, all_543_1_3571) % 115.47/81.92 | (5580) sdtpldt0(sz10, sz10) = all_543_2_3572 % 115.47/81.92 | (5581) sdtpldt0(sz10, xn) = all_543_1_3571 % 115.47/81.92 | (5582) sdtlseqdt0(all_543_0_3570, all_83_2_40) % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (543), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.47/81.92 | % 115.47/81.92 | Instantiating (1421) with all_549_0_3573, all_549_1_3574, all_549_2_3575 yields: % 115.47/81.92 | (5587) ~ (all_549_0_3573 = all_0_4_4) & ~ (all_549_1_3574 = all_549_2_3575) & sdtpldt0(xm, xn) = all_549_1_3574 & sdtpldt0(xm, sz10) = all_549_2_3575 & sdtpldt0(sz10, xm) = all_549_0_3573 & sdtlseqdt0(all_549_0_3573, all_0_4_4) & sdtlseqdt0(all_549_2_3575, all_549_1_3574) % 115.47/81.92 | % 115.47/81.92 | Applying alpha-rule on (5587) yields: % 115.47/81.92 | (5588) sdtlseqdt0(all_549_2_3575, all_549_1_3574) % 115.47/81.92 | (5589) sdtpldt0(xm, xn) = all_549_1_3574 % 115.47/81.92 | (5590) ~ (all_549_0_3573 = all_0_4_4) % 115.47/81.92 | (5591) sdtlseqdt0(all_549_0_3573, all_0_4_4) % 115.47/81.92 | (5592) ~ (all_549_1_3574 = all_549_2_3575) % 115.47/81.92 | (5593) sdtpldt0(sz10, xm) = all_549_0_3573 % 115.47/81.92 | (5594) sdtpldt0(xm, sz10) = all_549_2_3575 % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (1391), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (548), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (1382), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1392) xr = sz10 % 115.47/81.92 | % 115.47/81.92 | Combining equations (310,1392) yields a new equation: % 115.47/81.92 | (1371) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Simplifying 1371 yields: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.92 | (1396) ~ (xr = sz10) % 115.47/81.92 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.47/81.92 | % 115.47/81.92 | Equations (310) can reduce 1396 to: % 115.47/81.92 | (1364) ~ (xn = sz10) % 115.47/81.92 | % 115.47/81.92 +-Applying beta-rule and splitting (509), into two cases. % 115.47/81.92 |-Branch one: % 115.47/81.92 | (1372) xn = sz10 % 115.47/81.92 | % 115.47/81.92 | Equations (1372) can reduce 1364 to: % 115.47/81.92 | (174) $false % 115.47/81.92 | % 115.47/81.92 |-The branch is then unsatisfiable % 115.47/81.92 |-Branch two: % 115.47/81.93 | (1364) ~ (xn = sz10) % 115.47/81.93 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 115.47/81.93 | % 115.47/81.93 +-Applying beta-rule and splitting (544), into two cases. % 115.47/81.93 |-Branch one: % 115.47/81.93 | (1372) xn = sz10 % 115.47/81.93 | % 115.47/81.93 | Equations (1372) can reduce 1364 to: % 115.47/81.93 | (174) $false % 115.47/81.93 | % 115.47/81.93 |-The branch is then unsatisfiable % 115.47/81.93 |-Branch two: % 115.47/81.93 | (1364) ~ (xn = sz10) % 115.47/81.93 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.47/81.93 | % 115.47/81.93 | Instantiating (1411) with all_577_0_3583, all_577_1_3584, all_577_2_3585 yields: % 115.47/81.93 | (5618) ~ (all_577_0_3583 = all_577_1_3584) & ~ (all_577_2_3585 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = all_577_2_3585 & sdtpldt0(xn, all_0_4_4) = all_577_0_3583 & sdtpldt0(sz10, all_0_4_4) = all_577_1_3584 & sdtlseqdt0(all_577_1_3584, all_577_0_3583) & sdtlseqdt0(all_97_2_46, all_577_2_3585) % 115.47/81.93 | % 115.47/81.93 | Applying alpha-rule on (5618) yields: % 115.47/81.93 | (5619) ~ (all_577_2_3585 = all_97_2_46) % 115.47/81.93 | (5620) sdtpldt0(sz10, all_0_4_4) = all_577_1_3584 % 115.47/81.93 | (5621) sdtpldt0(all_0_4_4, xn) = all_577_2_3585 % 115.47/81.93 | (5622) ~ (all_577_0_3583 = all_577_1_3584) % 115.47/81.93 | (5623) sdtlseqdt0(all_97_2_46, all_577_2_3585) % 115.47/81.93 | (5624) sdtpldt0(xn, all_0_4_4) = all_577_0_3583 % 115.47/81.93 | (5625) sdtlseqdt0(all_577_1_3584, all_577_0_3583) % 115.47/81.93 | % 115.47/81.93 | From (2697) and (5620) follows: % 115.47/81.93 | (5626) sdtpldt0(sz10, xm) = all_577_1_3584 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with all_52_0_18, sz10, xn, all_527_2_3566 and discharging atoms sdtpldt0(all_52_0_18, sz10) = all_527_2_3566, sdtpldt0(all_52_0_18, sz10) = xn, yields: % 115.47/81.93 | (5627) all_527_2_3566 = xn % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with xn, sz10, all_495_0_3553, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_3553, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 115.47/81.93 | (5628) all_495_0_3553 = all_83_2_40 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with xn, sz10, all_495_0_3553, all_517_2_3563 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_3563, sdtpldt0(xn, sz10) = all_495_0_3553, yields: % 115.47/81.93 | (5629) all_517_2_3563 = all_495_0_3553 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_3563 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_3563, sdtpldt0(xn, sz10) = sz10, yields: % 115.47/81.93 | (5630) all_517_2_3563 = sz10 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (77) with xn, all_166_0_68, all_52_0_18, sz10 and discharging atoms sdtpldt0(sz10, all_166_0_68) = xn, sdtpldt0(sz10, all_52_0_18) = xn, aNaturalNumber0(all_166_0_68), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), yields: % 115.47/81.93 | (3360) all_166_0_68 = all_52_0_18 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_577_1_3584, all_102_2_49 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_3584, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 115.47/81.93 | (5632) all_577_1_3584 = all_102_2_49 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_533_1_3568, all_549_0_3573 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_3573, sdtpldt0(sz10, xm) = all_533_1_3568, yields: % 115.47/81.93 | (5633) all_549_0_3573 = all_533_1_3568 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_507_1_3560, all_577_1_3584 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_3584, sdtpldt0(sz10, xm) = all_507_1_3560, yields: % 115.47/81.93 | (5634) all_577_1_3584 = all_507_1_3560 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_507_1_3560, all_533_1_3568 and discharging atoms sdtpldt0(sz10, xm) = all_533_1_3568, sdtpldt0(sz10, xm) = all_507_1_3560, yields: % 115.47/81.93 | (5635) all_533_1_3568 = all_507_1_3560 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_490_1_3551, all_577_1_3584 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_3584, sdtpldt0(sz10, xm) = all_490_1_3551, yields: % 115.47/81.93 | (5636) all_577_1_3584 = all_490_1_3551 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_484_0_3548, all_549_0_3573 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_3573, sdtpldt0(sz10, xm) = all_484_0_3548, yields: % 115.47/81.93 | (5637) all_549_0_3573 = all_484_0_3548 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, xm, all_97_2_46, all_577_1_3584 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_3584, sdtpldt0(sz10, xm) = all_97_2_46, yields: % 115.47/81.93 | (5638) all_577_1_3584 = all_97_2_46 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, sz10, all_543_2_3572, all_543_0_3570 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_3570, sdtpldt0(sz10, sz10) = all_543_2_3572, yields: % 115.47/81.93 | (5639) all_543_0_3570 = all_543_2_3572 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, sz10, all_495_1_3554, all_543_0_3570 and discharging atoms sdtpldt0(sz10, sz10) = all_543_0_3570, sdtpldt0(sz10, sz10) = all_495_1_3554, yields: % 115.47/81.93 | (5640) all_543_0_3570 = all_495_1_3554 % 115.47/81.93 | % 115.47/81.93 | Instantiating formula (16) with sz10, sz10, all_495_2_3555, all_543_2_3572 and discharging atoms sdtpldt0(sz10, sz10) = all_543_2_3572, sdtpldt0(sz10, sz10) = all_495_2_3555, yields: % 115.47/81.93 | (5641) all_543_2_3572 = all_495_2_3555 % 115.47/81.93 | % 115.47/81.93 | Combining equations (5638,5636) yields a new equation: % 115.47/81.93 | (5642) all_490_1_3551 = all_97_2_46 % 115.47/81.93 | % 115.47/81.93 | Combining equations (5632,5636) yields a new equation: % 115.47/81.93 | (5643) all_490_1_3551 = all_102_2_49 % 115.47/81.93 | % 115.47/81.93 | Combining equations (5634,5636) yields a new equation: % 115.47/81.93 | (5644) all_507_1_3560 = all_490_1_3551 % 115.47/81.93 | % 115.47/81.93 | Simplifying 5644 yields: % 115.47/81.93 | (5645) all_507_1_3560 = all_490_1_3551 % 115.47/81.93 | % 115.47/81.93 | Combining equations (5633,5637) yields a new equation: % 115.47/81.93 | (5646) all_533_1_3568 = all_484_0_3548 % 115.47/81.93 | % 115.47/81.93 | Simplifying 5646 yields: % 115.47/81.93 | (5647) all_533_1_3568 = all_484_0_3548 % 115.47/81.93 | % 115.47/81.93 | Combining equations (5639,5640) yields a new equation: % 115.47/81.93 | (5648) all_543_2_3572 = all_495_1_3554 % 115.47/81.93 | % 115.47/81.93 | Simplifying 5648 yields: % 115.47/81.93 | (5649) all_543_2_3572 = all_495_1_3554 % 115.47/81.93 | % 115.47/81.94 | Combining equations (5641,5649) yields a new equation: % 115.47/81.94 | (5650) all_495_1_3554 = all_495_2_3555 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5635,5647) yields a new equation: % 115.47/81.94 | (5651) all_507_1_3560 = all_484_0_3548 % 115.47/81.94 | % 115.47/81.94 | Simplifying 5651 yields: % 115.47/81.94 | (5652) all_507_1_3560 = all_484_0_3548 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5629,5630) yields a new equation: % 115.47/81.94 | (5653) all_495_0_3553 = sz10 % 115.47/81.94 | % 115.47/81.94 | Simplifying 5653 yields: % 115.47/81.94 | (5654) all_495_0_3553 = sz10 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5645,5652) yields a new equation: % 115.47/81.94 | (5655) all_490_1_3551 = all_484_0_3548 % 115.47/81.94 | % 115.47/81.94 | Simplifying 5655 yields: % 115.47/81.94 | (5656) all_490_1_3551 = all_484_0_3548 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5628,5654) yields a new equation: % 115.47/81.94 | (3386) all_83_2_40 = sz10 % 115.47/81.94 | % 115.47/81.94 | Simplifying 3386 yields: % 115.47/81.94 | (2392) all_83_2_40 = sz10 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5642,5656) yields a new equation: % 115.47/81.94 | (5659) all_484_0_3548 = all_97_2_46 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5643,5656) yields a new equation: % 115.47/81.94 | (5660) all_484_0_3548 = all_102_2_49 % 115.47/81.94 | % 115.47/81.94 | Combining equations (5660,5659) yields a new equation: % 115.47/81.94 | (3390) all_102_2_49 = all_97_2_46 % 115.47/81.94 | % 115.47/81.94 | Simplifying 3390 yields: % 115.47/81.94 | (2813) all_102_2_49 = all_97_2_46 % 115.47/81.94 | % 115.47/81.94 | From (5627) and (5549) follows: % 115.47/81.94 | (3194) sdtpldt0(all_52_0_18, sz10) = xn % 115.47/81.94 | % 115.47/81.94 | From (2813) and (376) follows: % 115.47/81.94 | (2698) sdtpldt0(xm, sz10) = all_97_2_46 % 115.47/81.94 | % 115.47/81.94 | From (2392) and (337) follows: % 115.47/81.94 | (2640) sdtpldt0(xn, sz10) = sz10 % 115.47/81.94 | % 115.47/81.94 | From (3360) and (619) follows: % 115.47/81.94 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 115.47/81.94 | % 115.47/81.94 | From (2813) and (494) follows: % 115.47/81.94 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 115.47/81.94 | % 115.47/81.94 | From (2392) and (504) follows: % 115.47/81.94 | (3397) sdtpldt0(sz10, xn) = sz10 % 115.47/81.94 | % 115.47/81.94 | From (5650) and (5498) follows: % 115.47/81.94 | (5501) sdtpldt0(sz10, sz10) = all_495_2_3555 % 115.47/81.94 | % 115.47/81.94 | From (3360) and (620) follows: % 115.47/81.94 | (266) aNaturalNumber0(all_52_0_18) % 115.47/81.94 | % 115.47/81.94 | From (2392) and (1199) follows: % 115.47/81.94 | (52) aNaturalNumber0(sz10) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (7) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3404) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (94) with sz00, sz00, sz00, sz10 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3405) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (67) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(all_52_0_18, sz10) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3406) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (67) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(xm, sz10) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3407) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (67) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(xn, sz10) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3408) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (97) with xn, all_52_0_18, sz00, sz10 and discharging atoms sdtpldt0(sz10, all_52_0_18) = xn, sdtlseqdt0(sz10, sz00), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.94 | (3409) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.47/81.94 | % 115.47/81.94 | Instantiating formula (97) with all_97_2_46, xm, sz00, sz10 and discharging atoms sdtpldt0(sz10, xm) = all_97_2_46, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.95 | (3410) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 115.47/81.95 | % 115.47/81.95 | Instantiating formula (97) with sz10, xn, sz00, sz10 and discharging atoms sdtpldt0(sz10, xn) = sz10, sdtlseqdt0(sz10, sz00), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.95 | (3411) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 115.47/81.95 | % 115.47/81.95 | Instantiating formula (67) with all_495_2_3555, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_3555, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.95 | (5680) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_3555) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_3555, v0)) % 115.47/81.95 | % 115.47/81.95 | Instantiating formula (97) with all_495_2_3555, sz10, sz00, sz10 and discharging atoms sdtpldt0(sz10, sz10) = all_495_2_3555, sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.95 | (5681) sz10 = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_3555) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_3555, v2)) % 115.47/81.95 | % 115.47/81.95 | Instantiating formula (61) with sz00, sz10 and discharging atoms sdtlseqdt0(sz10, sz00), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 115.47/81.95 | (5682) ? [v0] : (sdtpldt0(sz10, v0) = sz00 & aNaturalNumber0(v0)) % 115.47/81.95 | % 115.47/81.95 | Instantiating (5682) with all_715_0_3706 yields: % 115.47/81.95 | (5683) sdtpldt0(sz10, all_715_0_3706) = sz00 & aNaturalNumber0(all_715_0_3706) % 115.47/81.95 | % 115.47/81.95 | Applying alpha-rule on (5683) yields: % 115.47/81.95 | (5684) sdtpldt0(sz10, all_715_0_3706) = sz00 % 115.47/81.95 | (5685) aNaturalNumber0(all_715_0_3706) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3410), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3420) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xm, sz00) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_2_46, v2)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3408), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3428) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz10) & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz10, v0)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3409), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3436) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(all_52_0_18, sz00) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3411), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3456) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz10) & ~ (v1 = v0) & sdtpldt0(xn, sz10) = v0 & sdtpldt0(xn, sz00) = v1 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz10, v2)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (5680), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (5705) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_495_2_3555) & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_495_2_3555, v0)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (5681), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (5709) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_495_2_3555) & ~ (v1 = v0) & sdtpldt0(sz10, sz10) = v0 & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_495_2_3555, v2)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3407), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3444) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3406), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3424) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(sz10, all_52_0_18) = v1 & sdtpldt0(sz00, all_52_0_18) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3405), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3432) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(sz10, sz00) = v2 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v2, sz00) & sdtlseqdt0(v0, v1)) % 115.47/81.95 | % 115.47/81.95 +-Applying beta-rule and splitting (3404), into two cases. % 115.47/81.95 |-Branch one: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.95 | (88) ~ (sz10 = sz00) % 115.47/81.95 | (3440) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(sz10, sz00) = v1 & sdtpldt0(sz00, sz10) = v0 & sdtpldt0(sz00, sz00) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, sz00)) % 115.47/81.95 | % 115.47/81.95 | Instantiating formula (87) with all_715_0_3706, sz10 and discharging atoms sdtpldt0(sz10, all_715_0_3706) = sz00, aNaturalNumber0(all_715_0_3706), aNaturalNumber0(sz10), yields: % 115.47/81.95 | (1337) sz10 = sz00 % 115.47/81.95 | % 115.47/81.95 | Equations (1337) can reduce 88 to: % 115.47/81.95 | (174) $false % 115.47/81.95 | % 115.47/81.95 |-The branch is then unsatisfiable % 115.47/81.95 |-Branch two: % 115.47/81.96 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.96 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 115.47/81.96 | % 115.47/81.96 | Instantiating (2889) with all_513_0_4049, all_513_1_4050, all_513_2_4051 yields: % 115.47/81.96 | (5730) ~ (all_513_0_4049 = all_513_1_4050) & ~ (all_513_2_4051 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_4049 & sdtpldt0(xm, xn) = all_513_1_4050 & sdtpldt0(xn, all_0_4_4) = all_513_2_4051 & sdtlseqdt0(all_513_1_4050, all_513_0_4049) & sdtlseqdt0(all_0_4_4, all_513_2_4051) % 115.47/81.96 | % 115.47/81.96 | Applying alpha-rule on (5730) yields: % 115.47/81.96 | (5731) sdtpldt0(xn, all_0_4_4) = all_513_2_4051 % 115.47/81.96 | (5732) sdtpldt0(xm, xn) = all_513_1_4050 % 115.47/81.96 | (5733) sdtpldt0(all_0_4_4, xn) = all_513_0_4049 % 115.47/81.96 | (5734) sdtlseqdt0(all_513_1_4050, all_513_0_4049) % 115.47/81.96 | (5735) ~ (all_513_0_4049 = all_513_1_4050) % 115.47/81.96 | (5736) ~ (all_513_2_4051 = all_0_4_4) % 115.47/81.96 | (5737) sdtlseqdt0(all_0_4_4, all_513_2_4051) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (551), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (1372) xn = sz10 % 115.47/81.96 | % 115.47/81.96 | Equations (1372) can reduce 1364 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (1364) ~ (xn = sz10) % 115.47/81.96 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (583), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (1372) xn = sz10 % 115.47/81.96 | % 115.47/81.96 | Equations (1372) can reduce 1364 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (1364) ~ (xn = sz10) % 115.47/81.96 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (545), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (1372) xn = sz10 % 115.47/81.96 | % 115.47/81.96 | Equations (1372) can reduce 1364 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (1364) ~ (xn = sz10) % 115.47/81.96 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 115.47/81.96 | % 115.47/81.96 | Instantiating (1587) with all_535_0_4058, all_535_1_4059, all_535_2_4060 yields: % 115.47/81.96 | (5750) ~ (all_535_0_4058 = all_535_1_4059) & ~ (all_535_2_4060 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_4060 & sdtpldt0(xn, xm) = all_535_0_4058 & sdtpldt0(sz10, xm) = all_535_1_4059 & sdtlseqdt0(all_535_1_4059, all_535_0_4058) & sdtlseqdt0(all_102_2_49, all_535_2_4060) % 115.47/81.96 | % 115.47/81.96 | Applying alpha-rule on (5750) yields: % 115.47/81.96 | (5751) sdtlseqdt0(all_535_1_4059, all_535_0_4058) % 115.47/81.96 | (5752) sdtlseqdt0(all_102_2_49, all_535_2_4060) % 115.47/81.96 | (5753) sdtpldt0(sz10, xm) = all_535_1_4059 % 115.47/81.96 | (5754) ~ (all_535_0_4058 = all_535_1_4059) % 115.47/81.96 | (5755) sdtpldt0(xm, xn) = all_535_2_4060 % 115.47/81.96 | (5756) ~ (all_535_2_4060 = all_102_2_49) % 115.47/81.96 | (5757) sdtpldt0(xn, xm) = all_535_0_4058 % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (533), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (2697) all_0_4_4 = xm % 115.47/81.96 | % 115.47/81.96 | Equations (2697) can reduce 2888 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.96 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (516), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (2697) all_0_4_4 = xm % 115.47/81.96 | % 115.47/81.96 | Equations (2697) can reduce 2888 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.96 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (547), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (1372) xn = sz10 % 115.47/81.96 | % 115.47/81.96 | Equations (1372) can reduce 1364 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (1364) ~ (xn = sz10) % 115.47/81.96 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (511), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (1372) xn = sz10 % 115.47/81.96 | % 115.47/81.96 | Equations (1372) can reduce 1364 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (1364) ~ (xn = sz10) % 115.47/81.96 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 115.47/81.96 | % 115.47/81.96 | Instantiating (1576) with all_559_0_4069, all_559_1_4070 yields: % 115.47/81.96 | (5774) ~ (all_559_0_4069 = all_559_1_4070) & sdtpldt0(xm, xn) = all_559_1_4070 & sdtpldt0(xm, sz10) = all_559_0_4069 % 115.47/81.96 | % 115.47/81.96 | Applying alpha-rule on (5774) yields: % 115.47/81.96 | (5775) ~ (all_559_0_4069 = all_559_1_4070) % 115.47/81.96 | (5776) sdtpldt0(xm, xn) = all_559_1_4070 % 115.47/81.96 | (5777) sdtpldt0(xm, sz10) = all_559_0_4069 % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (491), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (2697) all_0_4_4 = xm % 115.47/81.96 | % 115.47/81.96 | Equations (2697) can reduce 2888 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.96 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 115.47/81.96 | % 115.47/81.96 +-Applying beta-rule and splitting (535), into two cases. % 115.47/81.96 |-Branch one: % 115.47/81.96 | (2697) all_0_4_4 = xm % 115.47/81.96 | % 115.47/81.96 | Equations (2697) can reduce 2888 to: % 115.47/81.96 | (174) $false % 115.47/81.96 | % 115.47/81.96 |-The branch is then unsatisfiable % 115.47/81.96 |-Branch two: % 115.47/81.96 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.96 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (548), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (1372) xn = sz10 % 115.47/81.97 | % 115.47/81.97 | Equations (1372) can reduce 1364 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (1364) ~ (xn = sz10) % 115.47/81.97 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (544), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (1372) xn = sz10 % 115.47/81.97 | % 115.47/81.97 | Equations (1372) can reduce 1364 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (1364) ~ (xn = sz10) % 115.47/81.97 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (536), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (509), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (1372) xn = sz10 % 115.47/81.97 | % 115.47/81.97 | Equations (1372) can reduce 1364 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (1364) ~ (xn = sz10) % 115.47/81.97 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (515), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (507), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (538), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (510), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (1372) xn = sz10 % 115.47/81.97 | % 115.47/81.97 | Equations (1372) can reduce 1364 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (1364) ~ (xn = sz10) % 115.47/81.97 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 115.47/81.97 | % 115.47/81.97 | Instantiating (1490) with all_623_0_4094, all_623_1_4095 yields: % 115.47/81.97 | (5818) ~ (all_623_0_4094 = all_623_1_4095) & sdtpldt0(xm, xn) = all_623_0_4094 & sdtpldt0(xm, sz10) = all_623_1_4095 % 115.47/81.97 | % 115.47/81.97 | Applying alpha-rule on (5818) yields: % 115.47/81.97 | (5819) ~ (all_623_0_4094 = all_623_1_4095) % 115.47/81.97 | (5820) sdtpldt0(xm, xn) = all_623_0_4094 % 115.47/81.97 | (5821) sdtpldt0(xm, sz10) = all_623_1_4095 % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (543), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (1372) xn = sz10 % 115.47/81.97 | % 115.47/81.97 | Equations (1372) can reduce 1364 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (1364) ~ (xn = sz10) % 115.47/81.97 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.47/81.97 | % 115.47/81.97 | Instantiating (1421) with all_633_0_4096, all_633_1_4097, all_633_2_4098 yields: % 115.47/81.97 | (5826) ~ (all_633_0_4096 = all_0_4_4) & ~ (all_633_1_4097 = all_633_2_4098) & sdtpldt0(xm, xn) = all_633_1_4097 & sdtpldt0(xm, sz10) = all_633_2_4098 & sdtpldt0(sz10, xm) = all_633_0_4096 & sdtlseqdt0(all_633_0_4096, all_0_4_4) & sdtlseqdt0(all_633_2_4098, all_633_1_4097) % 115.47/81.97 | % 115.47/81.97 | Applying alpha-rule on (5826) yields: % 115.47/81.97 | (5827) sdtpldt0(sz10, xm) = all_633_0_4096 % 115.47/81.97 | (5828) ~ (all_633_1_4097 = all_633_2_4098) % 115.47/81.97 | (5829) ~ (all_633_0_4096 = all_0_4_4) % 115.47/81.97 | (5830) sdtlseqdt0(all_633_0_4096, all_0_4_4) % 115.47/81.97 | (5831) sdtlseqdt0(all_633_2_4098, all_633_1_4097) % 115.47/81.97 | (5832) sdtpldt0(xm, sz10) = all_633_2_4098 % 115.47/81.97 | (5833) sdtpldt0(xm, xn) = all_633_1_4097 % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (512), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 115.47/81.97 | % 115.47/81.97 +-Applying beta-rule and splitting (537), into two cases. % 115.47/81.97 |-Branch one: % 115.47/81.97 | (2697) all_0_4_4 = xm % 115.47/81.97 | % 115.47/81.97 | Equations (2697) can reduce 2888 to: % 115.47/81.97 | (174) $false % 115.47/81.97 | % 115.47/81.97 |-The branch is then unsatisfiable % 115.47/81.97 |-Branch two: % 115.47/81.97 | (2888) ~ (all_0_4_4 = xm) % 115.47/81.97 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_623_0_4094, all_633_1_4097 and discharging atoms sdtpldt0(xm, xn) = all_633_1_4097, sdtpldt0(xm, xn) = all_623_0_4094, yields: % 115.47/81.97 | (5842) all_633_1_4097 = all_623_0_4094 % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_559_1_4070, all_633_1_4097 and discharging atoms sdtpldt0(xm, xn) = all_633_1_4097, sdtpldt0(xm, xn) = all_559_1_4070, yields: % 115.47/81.97 | (5843) all_633_1_4097 = all_559_1_4070 % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_535_2_4060, all_623_0_4094 and discharging atoms sdtpldt0(xm, xn) = all_623_0_4094, sdtpldt0(xm, xn) = all_535_2_4060, yields: % 115.47/81.97 | (5844) all_623_0_4094 = all_535_2_4060 % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_513_1_4050, all_623_0_4094 and discharging atoms sdtpldt0(xm, xn) = all_623_0_4094, sdtpldt0(xm, xn) = all_513_1_4050, yields: % 115.47/81.97 | (5845) all_623_0_4094 = all_513_1_4050 % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_501_1_3557, all_623_0_4094 and discharging atoms sdtpldt0(xm, xn) = all_623_0_4094, sdtpldt0(xm, xn) = all_501_1_3557, yields: % 115.47/81.97 | (5846) all_623_0_4094 = all_501_1_3557 % 115.47/81.97 | % 115.47/81.97 | Instantiating formula (16) with xm, xn, all_484_1_3549, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_3549, sdtpldt0(xm, xn) = all_0_4_4, yields: % 115.47/81.97 | (5847) all_484_1_3549 = all_0_4_4 % 115.47/81.98 | % 115.47/81.98 | Instantiating formula (16) with xm, xn, all_484_1_3549, all_623_0_4094 and discharging atoms sdtpldt0(xm, xn) = all_623_0_4094, sdtpldt0(xm, xn) = all_484_1_3549, yields: % 115.47/81.98 | (5848) all_623_0_4094 = all_484_1_3549 % 115.47/81.98 | % 115.47/81.98 | Instantiating formula (16) with xm, xn, xm, all_623_0_4094 and discharging atoms sdtpldt0(xm, xn) = all_623_0_4094, sdtpldt0(xm, xn) = xm, yields: % 115.47/81.98 | (5849) all_623_0_4094 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5842,5843) yields a new equation: % 115.47/81.98 | (5850) all_623_0_4094 = all_559_1_4070 % 115.47/81.98 | % 115.47/81.98 | Simplifying 5850 yields: % 115.47/81.98 | (5851) all_623_0_4094 = all_559_1_4070 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5845,5851) yields a new equation: % 115.47/81.98 | (5852) all_559_1_4070 = all_513_1_4050 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5848,5851) yields a new equation: % 115.47/81.98 | (5853) all_559_1_4070 = all_484_1_3549 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5844,5851) yields a new equation: % 115.47/81.98 | (5854) all_559_1_4070 = all_535_2_4060 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5849,5851) yields a new equation: % 115.47/81.98 | (5855) all_559_1_4070 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5846,5851) yields a new equation: % 115.47/81.98 | (5856) all_559_1_4070 = all_501_1_3557 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5853,5854) yields a new equation: % 115.47/81.98 | (5857) all_535_2_4060 = all_484_1_3549 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5852,5854) yields a new equation: % 115.47/81.98 | (5858) all_535_2_4060 = all_513_1_4050 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5855,5854) yields a new equation: % 115.47/81.98 | (5859) all_535_2_4060 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5856,5854) yields a new equation: % 115.47/81.98 | (5860) all_535_2_4060 = all_501_1_3557 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5859,5858) yields a new equation: % 115.47/81.98 | (5861) all_513_1_4050 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5857,5858) yields a new equation: % 115.47/81.98 | (5862) all_513_1_4050 = all_484_1_3549 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5860,5858) yields a new equation: % 115.47/81.98 | (5863) all_513_1_4050 = all_501_1_3557 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5861,5863) yields a new equation: % 115.47/81.98 | (5864) all_501_1_3557 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5862,5863) yields a new equation: % 115.47/81.98 | (5865) all_501_1_3557 = all_484_1_3549 % 115.47/81.98 | % 115.47/81.98 | Combining equations (5865,5864) yields a new equation: % 115.47/81.98 | (5866) all_484_1_3549 = xm % 115.47/81.98 | % 115.47/81.98 | Simplifying 5866 yields: % 115.47/81.98 | (5867) all_484_1_3549 = xm % 115.47/81.98 | % 115.47/81.98 | Combining equations (5867,5847) yields a new equation: % 115.47/81.99 | (2697) all_0_4_4 = xm % 115.47/81.99 | % 115.77/81.99 | Equations (2697) can reduce 2888 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1723) ~ sdtlseqdt0(sz10, sz00) % 115.77/81.99 | (4218) sdtlseqdt0(sz00, sz10) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (150), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1328) sdtlseqdt0(xr, sz00) % 115.77/81.99 | % 115.77/81.99 | From (310) and (1328) follows: % 115.77/81.99 | (1329) sdtlseqdt0(xn, sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (151), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1330) sdtlseqdt0(xp, sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (148), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1331) sdtlseqdt0(xm, sz10) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (123), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1332) sdtlseqdt0(sz10, all_0_0_0) % 115.77/81.99 | % 115.77/81.99 | From (1287) and (1332) follows: % 115.77/81.99 | (1333) sdtlseqdt0(sz10, xm) % 115.77/81.99 | % 115.77/81.99 | Instantiating formula (2) with xm, sz10 and discharging atoms sdtlseqdt0(xm, sz10), sdtlseqdt0(sz10, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 115.77/81.99 | (1334) xm = sz10 % 115.77/81.99 | % 115.77/81.99 | From (1334) and (479) follows: % 115.77/81.99 | (1335) sdtlseqdt0(xp, sz10) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (1301), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1336) xm = sz00 % 115.77/81.99 | % 115.77/81.99 | Combining equations (1336,1334) yields a new equation: % 115.77/81.99 | (1337) sz10 = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1337) can reduce 88 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1339) ~ (xm = sz00) % 115.77/81.99 | (1340) all_212_0_127 = xp % 115.77/81.99 | % 115.77/81.99 | Equations (1334) can reduce 1339 to: % 115.77/81.99 | (88) ~ (sz10 = sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (201), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1336) xm = sz00 % 115.77/81.99 | % 115.77/81.99 | Combining equations (1336,1334) yields a new equation: % 115.77/81.99 | (1337) sz10 = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1337) can reduce 88 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1339) ~ (xm = sz00) % 115.77/81.99 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 115.77/81.99 | % 115.77/81.99 | Equations (1334) can reduce 1339 to: % 115.77/81.99 | (88) ~ (sz10 = sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (210), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1336) xm = sz00 % 115.77/81.99 | % 115.77/81.99 | Combining equations (1336,1334) yields a new equation: % 115.77/81.99 | (1337) sz10 = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1337) can reduce 88 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1339) ~ (xm = sz00) % 115.77/81.99 | (1352) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/81.99 | % 115.77/81.99 | Equations (1334) can reduce 1339 to: % 115.77/81.99 | (88) ~ (sz10 = sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (203), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1336) xm = sz00 % 115.77/81.99 | % 115.77/81.99 | Combining equations (1336,1334) yields a new equation: % 115.77/81.99 | (1337) sz10 = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1337) can reduce 88 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1339) ~ (xm = sz00) % 115.77/81.99 | (1358) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 115.77/81.99 | % 115.77/81.99 | Equations (1334) can reduce 1339 to: % 115.77/81.99 | (88) ~ (sz10 = sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (1358), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1360) xr = xp % 115.77/81.99 | % 115.77/81.99 | Combining equations (310,1360) yields a new equation: % 115.77/81.99 | (1361) xp = xn % 115.77/81.99 | % 115.77/81.99 | Combining equations (1361,1360) yields a new equation: % 115.77/81.99 | (310) xr = xn % 115.77/81.99 | % 115.77/81.99 | Combining equations (1361,1200) yields a new equation: % 115.77/81.99 | (1363) all_54_0_19 = xn % 115.77/81.99 | % 115.77/81.99 | Equations (1361) can reduce 18 to: % 115.77/81.99 | (1364) ~ (xn = sz10) % 115.77/81.99 | % 115.77/81.99 | Equations (1361) can reduce 37 to: % 115.77/81.99 | (1365) ~ (xn = sz00) % 115.77/81.99 | % 115.77/81.99 | From (1361) and (1335) follows: % 115.77/81.99 | (1366) sdtlseqdt0(xn, sz10) % 115.77/81.99 | % 115.77/81.99 | From (1361) and (172) follows: % 115.77/81.99 | (239) sdtlseqdt0(sz10, xn) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (216), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1368) xp = xm % 115.77/81.99 | % 115.77/81.99 | Combining equations (1368,1361) yields a new equation: % 115.77/81.99 | (1369) xm = xn % 115.77/81.99 | % 115.77/81.99 | Simplifying 1369 yields: % 115.77/81.99 | (1370) xm = xn % 115.77/81.99 | % 115.77/81.99 | Combining equations (1370,1334) yields a new equation: % 115.77/81.99 | (1371) xn = sz10 % 115.77/81.99 | % 115.77/81.99 | Simplifying 1371 yields: % 115.77/81.99 | (1372) xn = sz10 % 115.77/81.99 | % 115.77/81.99 | Equations (1372) can reduce 1364 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1374) ~ (xp = xm) % 115.77/81.99 | (1375) ? [v0] : ? [v1] : ( ~ (v1 = xn) & ~ (v0 = all_17_0_11) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xm, xr) = v1) % 115.77/81.99 | % 115.77/81.99 | Equations (1361,1334) can reduce 1374 to: % 115.77/81.99 | (1364) ~ (xn = sz10) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (127), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1377) xr = sz00 % 115.77/81.99 | % 115.77/81.99 | Combining equations (310,1377) yields a new equation: % 115.77/81.99 | (1378) xn = sz00 % 115.77/81.99 | % 115.77/81.99 | Simplifying 1378 yields: % 115.77/81.99 | (1379) xn = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1379) can reduce 1365 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1381) ~ (xr = sz00) % 115.77/81.99 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.77/81.99 | % 115.77/81.99 | Equations (310) can reduce 1381 to: % 115.77/81.99 | (1365) ~ (xn = sz00) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (509), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1372) xn = sz10 % 115.77/81.99 | % 115.77/81.99 | Equations (1372) can reduce 1364 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1364) ~ (xn = sz10) % 115.77/81.99 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (147), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1379) xn = sz00 % 115.77/81.99 | % 115.77/81.99 | Equations (1379) can reduce 1365 to: % 115.77/81.99 | (174) $false % 115.77/81.99 | % 115.77/81.99 |-The branch is then unsatisfiable % 115.77/81.99 |-Branch two: % 115.77/81.99 | (1365) ~ (xn = sz00) % 115.77/81.99 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.77/81.99 | % 115.77/81.99 +-Applying beta-rule and splitting (1382), into two cases. % 115.77/81.99 |-Branch one: % 115.77/81.99 | (1392) xr = sz10 % 115.77/81.99 | % 115.77/81.99 | Combining equations (310,1392) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1396) ~ (xr = sz10) % 115.77/82.00 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.77/82.00 | % 115.77/82.00 | Equations (310) can reduce 1396 to: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (217), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1368) xp = xm % 115.77/82.00 | % 115.77/82.00 | Combining equations (1368,1361) yields a new equation: % 115.77/82.00 | (1369) xm = xn % 115.77/82.00 | % 115.77/82.00 | Simplifying 1369 yields: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1370,1334) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1374) ~ (xp = xm) % 115.77/82.00 | (1406) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v1 & sdtpldt0(xm, xr) = v0) % 115.77/82.00 | % 115.77/82.00 | Equations (1361,1334) can reduce 1374 to: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (544), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (1021), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1379) xn = sz00 % 115.77/82.00 | % 115.77/82.00 | Equations (1379) can reduce 1365 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1365) ~ (xn = sz00) % 115.77/82.00 | (1415) all_146_0_54 = xm % 115.77/82.00 | % 115.77/82.00 | Combining equations (1334,1415) yields a new equation: % 115.77/82.00 | (1416) all_146_0_54 = sz10 % 115.77/82.00 | % 115.77/82.00 | From (1416) and (600) follows: % 115.77/82.00 | (52) aNaturalNumber0(sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (543), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (500), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1370,1334) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1426) ~ (xm = xn) % 115.77/82.00 | (1427) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, xn) = v0) % 115.77/82.00 | % 115.77/82.00 | Equations (1334) can reduce 1426 to: % 115.77/82.00 | (1428) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 | Simplifying 1428 yields: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (547), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (563), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1434) all_54_0_19 = xm % 115.77/82.00 | % 115.77/82.00 | Combining equations (1363,1434) yields a new equation: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1334,1370) yields a new equation: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1438) ~ (all_54_0_19 = xm) % 115.77/82.00 | (1439) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 115.77/82.00 | % 115.77/82.00 | Equations (1363,1334) can reduce 1438 to: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (501), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1370,1334) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1426) ~ (xm = xn) % 115.77/82.00 | (1446) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, xm) = v0 & sdtpldt0(sz10, xn) = v1) % 115.77/82.00 | % 115.77/82.00 | Equations (1334) can reduce 1426 to: % 115.77/82.00 | (1428) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 | Simplifying 1428 yields: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (542), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (1391), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (514), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1370,1334) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1426) ~ (xm = xn) % 115.77/82.00 | (1462) ? [v0] : ? [v1] : ( ~ (v1 = all_83_2_40) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xn) = v0) % 115.77/82.00 | % 115.77/82.00 | Equations (1334) can reduce 1426 to: % 115.77/82.00 | (1428) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 | Simplifying 1428 yields: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (549), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (489), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1472) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v0 & sdtpldt0(sz10, xm) = v1) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (1300), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1336) xm = sz00 % 115.77/82.00 | % 115.77/82.00 | Combining equations (1336,1334) yields a new equation: % 115.77/82.00 | (1337) sz10 = sz00 % 115.77/82.00 | % 115.77/82.00 | Equations (1337) can reduce 88 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1339) ~ (xm = sz00) % 115.77/82.00 | (1477) all_214_0_128 = xn % 115.77/82.00 | % 115.77/82.00 | From (1477) and (725) follows: % 115.77/82.00 | (113) aNaturalNumber0(xn) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (557), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1434) all_54_0_19 = xm % 115.77/82.00 | % 115.77/82.00 | Combining equations (1434,1363) yields a new equation: % 115.77/82.00 | (1369) xm = xn % 115.77/82.00 | % 115.77/82.00 | Simplifying 1369 yields: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1334,1370) yields a new equation: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1438) ~ (all_54_0_19 = xm) % 115.77/82.00 | (1485) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = sz10) & sdtpldt0(all_54_0_19, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 115.77/82.00 | % 115.77/82.00 | Equations (1363,1334) can reduce 1438 to: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (510), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (481), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.00 | (1368) xp = xm % 115.77/82.00 | % 115.77/82.00 | Combining equations (1361,1368) yields a new equation: % 115.77/82.00 | (1370) xm = xn % 115.77/82.00 | % 115.77/82.00 | Combining equations (1370,1334) yields a new equation: % 115.77/82.00 | (1371) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Simplifying 1371 yields: % 115.77/82.00 | (1372) xn = sz10 % 115.77/82.00 | % 115.77/82.00 | Equations (1372) can reduce 1364 to: % 115.77/82.00 | (174) $false % 115.77/82.00 | % 115.77/82.00 |-The branch is then unsatisfiable % 115.77/82.00 |-Branch two: % 115.77/82.00 | (1374) ~ (xp = xm) % 115.77/82.00 | (1497) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/82.00 | % 115.77/82.00 | Equations (1361,1334) can reduce 1374 to: % 115.77/82.00 | (1364) ~ (xn = sz10) % 115.77/82.00 | % 115.77/82.00 +-Applying beta-rule and splitting (551), into two cases. % 115.77/82.00 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (524), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1334,1370) yields a new equation: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1426) ~ (xm = xn) % 115.77/82.01 | (1507) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 115.77/82.01 | % 115.77/82.01 | Equations (1334) can reduce 1426 to: % 115.77/82.01 | (1428) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 | Simplifying 1428 yields: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (569), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1434) all_54_0_19 = xm % 115.77/82.01 | % 115.77/82.01 | Combining equations (1434,1363) yields a new equation: % 115.77/82.01 | (1369) xm = xn % 115.77/82.01 | % 115.77/82.01 | Simplifying 1369 yields: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1334,1370) yields a new equation: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1438) ~ (all_54_0_19 = xm) % 115.77/82.01 | (1516) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 115.77/82.01 | % 115.77/82.01 | Equations (1363,1334) can reduce 1438 to: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (218), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1368) xp = xm % 115.77/82.01 | % 115.77/82.01 | Combining equations (1361,1368) yields a new equation: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1370,1334) yields a new equation: % 115.77/82.01 | (1371) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Simplifying 1371 yields: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1374) ~ (xp = xm) % 115.77/82.01 | (1524) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xr) = v0 & sdtpldt0(xm, xr) = v1) % 115.77/82.01 | % 115.77/82.01 | Equations (1361,1334) can reduce 1374 to: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (490), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (548), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (550), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (495), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1368) xp = xm % 115.77/82.01 | % 115.77/82.01 | Combining equations (1361,1368) yields a new equation: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1370,1334) yields a new equation: % 115.77/82.01 | (1371) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Simplifying 1371 yields: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1374) ~ (xp = xm) % 115.77/82.01 | (1544) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = xn) & sdtpldt0(xp, xn) = v1 & sdtpldt0(xn, xm) = v0) % 115.77/82.01 | % 115.77/82.01 | Equations (1361,1334) can reduce 1374 to: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (583), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (523), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1334,1370) yields a new equation: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1426) ~ (xm = xn) % 115.77/82.01 | (1554) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(xn, sz10) = v0) % 115.77/82.01 | % 115.77/82.01 | Equations (1334) can reduce 1426 to: % 115.77/82.01 | (1428) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 | Simplifying 1428 yields: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (480), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1368) xp = xm % 115.77/82.01 | % 115.77/82.01 | Combining equations (1361,1368) yields a new equation: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1370,1334) yields a new equation: % 115.77/82.01 | (1371) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Simplifying 1371 yields: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1374) ~ (xp = xm) % 115.77/82.01 | (1563) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xp) = v1 & sdtpldt0(xn, xm) = v0) % 115.77/82.01 | % 115.77/82.01 | Equations (1361,1334) can reduce 1374 to: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (546), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1568) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_2_40) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_83_2_40, v0)) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (488), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (511), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (521), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1370) xm = xn % 115.77/82.01 | % 115.77/82.01 | Combining equations (1334,1370) yields a new equation: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1426) ~ (xm = xn) % 115.77/82.01 | (1581) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 115.77/82.01 | % 115.77/82.01 | Equations (1334) can reduce 1426 to: % 115.77/82.01 | (1428) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 | Simplifying 1428 yields: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | % 115.77/82.01 +-Applying beta-rule and splitting (545), into two cases. % 115.77/82.01 |-Branch one: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.01 |-Branch two: % 115.77/82.01 | (1364) ~ (xn = sz10) % 115.77/82.01 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 115.77/82.01 | % 115.77/82.01 | Instantiating formula (2) with xn, sz10 and discharging atoms sdtlseqdt0(xn, sz10), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 115.77/82.01 | (1372) xn = sz10 % 115.77/82.01 | % 115.77/82.01 | Equations (1372) can reduce 1364 to: % 115.77/82.01 | (174) $false % 115.77/82.01 | % 115.77/82.01 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1590) ~ (xr = xp) % 115.77/82.02 | (1591) ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 115.77/82.02 | % 115.77/82.02 | Equations (310) can reduce 1590 to: % 115.77/82.02 | (1592) ~ (xp = xn) % 115.77/82.02 | % 115.77/82.02 | Simplifying 1592 yields: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (142), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1597) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (209), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1336) xm = sz00 % 115.77/82.02 | % 115.77/82.02 | Combining equations (1336,1334) yields a new equation: % 115.77/82.02 | (1337) sz10 = sz00 % 115.77/82.02 | % 115.77/82.02 | Equations (1337) can reduce 88 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1339) ~ (xm = sz00) % 115.77/82.02 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.02 | % 115.77/82.02 | Equations (1334) can reduce 1339 to: % 115.77/82.02 | (88) ~ (sz10 = sz00) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (571), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1363) all_54_0_19 = xn % 115.77/82.02 | % 115.77/82.02 | Combining equations (1200,1363) yields a new equation: % 115.77/82.02 | (1605) xp = xn % 115.77/82.02 | % 115.77/82.02 | Simplifying 1605 yields: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1608) ~ (all_54_0_19 = xn) % 115.77/82.02 | (1609) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 115.77/82.02 | % 115.77/82.02 | Equations (1200) can reduce 1608 to: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (190), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1336) xm = sz00 % 115.77/82.02 | % 115.77/82.02 | Combining equations (1336,1334) yields a new equation: % 115.77/82.02 | (1337) sz10 = sz00 % 115.77/82.02 | % 115.77/82.02 | Equations (1337) can reduce 88 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1339) ~ (xm = sz00) % 115.77/82.02 | (1615) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.02 | % 115.77/82.02 | Equations (1334) can reduce 1339 to: % 115.77/82.02 | (88) ~ (sz10 = sz00) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (1602), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1620) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (474), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1624) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (141), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (208), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1336) xm = sz00 % 115.77/82.02 | % 115.77/82.02 | Combining equations (1336,1334) yields a new equation: % 115.77/82.02 | (1337) sz10 = sz00 % 115.77/82.02 | % 115.77/82.02 | Equations (1337) can reduce 88 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1339) ~ (xm = sz00) % 115.77/82.02 | (1633) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.02 | % 115.77/82.02 | Equations (1334) can reduce 1339 to: % 115.77/82.02 | (88) ~ (sz10 = sz00) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (525), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1638) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xp, sz10) = v1 & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (1633), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1642) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (221), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1360) xr = xp % 115.77/82.02 | % 115.77/82.02 | Combining equations (310,1360) yields a new equation: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1590) ~ (xr = xp) % 115.77/82.02 | (1647) ? [v0] : ? [v1] : ( ~ (v1 = all_17_0_11) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xr) = v0) % 115.77/82.02 | % 115.77/82.02 | Equations (310) can reduce 1590 to: % 115.77/82.02 | (1592) ~ (xp = xn) % 115.77/82.02 | % 115.77/82.02 | Simplifying 1592 yields: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (1352), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1653) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (1300), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1336) xm = sz00 % 115.77/82.02 | % 115.77/82.02 | Combining equations (1336,1334) yields a new equation: % 115.77/82.02 | (1337) sz10 = sz00 % 115.77/82.02 | % 115.77/82.02 | Equations (1337) can reduce 88 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1339) ~ (xm = sz00) % 115.77/82.02 | (1477) all_214_0_128 = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1334) can reduce 1339 to: % 115.77/82.02 | (88) ~ (sz10 = sz00) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (229), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1663) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (220), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1667) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (207), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1336) xm = sz00 % 115.77/82.02 | % 115.77/82.02 | Combining equations (1336,1334) yields a new equation: % 115.77/82.02 | (1337) sz10 = sz00 % 115.77/82.02 | % 115.77/82.02 | Equations (1337) can reduce 88 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1339) ~ (xm = sz00) % 115.77/82.02 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.02 | % 115.77/82.02 | Equations (1334) can reduce 1339 to: % 115.77/82.02 | (88) ~ (sz10 = sz00) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (503), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1677) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(xp, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (222), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 115.77/82.02 | % 115.77/82.02 +-Applying beta-rule and splitting (1672), into two cases. % 115.77/82.02 |-Branch one: % 115.77/82.02 | (1361) xp = xn % 115.77/82.02 | % 115.77/82.02 | Equations (1361) can reduce 1593 to: % 115.77/82.02 | (174) $false % 115.77/82.02 | % 115.77/82.02 |-The branch is then unsatisfiable % 115.77/82.02 |-Branch two: % 115.77/82.02 | (1593) ~ (xp = xn) % 115.77/82.02 | (1685) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (193), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Combining equations (1336,1334) yields a new equation: % 115.77/82.03 | (1337) sz10 = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1337) can reduce 88 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1690) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v1 & sdtasdt0(xm, xp) = v0) % 115.77/82.03 | % 115.77/82.03 | Equations (1334) can reduce 1339 to: % 115.77/82.03 | (88) ~ (sz10 = sz00) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (1615), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1361) xp = xn % 115.77/82.03 | % 115.77/82.03 | Equations (1361) can reduce 1593 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1593) ~ (xp = xn) % 115.77/82.03 | (1695) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (214), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1361) xp = xn % 115.77/82.03 | % 115.77/82.03 | Equations (1361) can reduce 1593 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1593) ~ (xp = xn) % 115.77/82.03 | (1699) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, xn) = v0 & sdtpldt0(xp, xr) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (248), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1361) xp = xn % 115.77/82.03 | % 115.77/82.03 | Equations (1361) can reduce 1593 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1593) ~ (xp = xn) % 115.77/82.03 | (1703) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xp, all_0_4_4) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_3_3, v0)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (475), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1361) xp = xn % 115.77/82.03 | % 115.77/82.03 | Equations (1361) can reduce 1593 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1593) ~ (xp = xn) % 115.77/82.03 | (1707) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (1018), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Combining equations (1336,1334) yields a new equation: % 115.77/82.03 | (1337) sz10 = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1337) can reduce 88 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1712) all_212_0_127 = xn % 115.77/82.03 | % 115.77/82.03 | Combining equations (1712,1340) yields a new equation: % 115.77/82.03 | (1361) xp = xn % 115.77/82.03 | % 115.77/82.03 | Equations (1361) can reduce 1593 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1715) ~ sdtlseqdt0(sz10, all_0_0_0) % 115.77/82.03 | (1716) all_0_0_0 = sz10 | all_0_0_0 = sz00 % 115.77/82.03 | % 115.77/82.03 | From (1287) and (1715) follows: % 115.77/82.03 | (1717) ~ sdtlseqdt0(sz10, xm) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (136), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1333) sdtlseqdt0(sz10, xm) % 115.77/82.03 | % 115.77/82.03 | Using (1333) and (1717) yields: % 115.77/82.03 | (1719) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1717) ~ sdtlseqdt0(sz10, xm) % 115.77/82.03 | (1721) xm = sz10 | xm = sz00 % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (205), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | From (1336) and (4610) follows: % 115.77/82.03 | (154) sdtlseqdt0(sz00, sz00) % 115.77/82.03 | % 115.77/82.03 | From (1336) and (3045) follows: % 115.77/82.03 | (3628) ~ sdtlseqdt0(sz00, sz00) % 115.77/82.03 | % 115.77/82.03 | Using (154) and (3628) yields: % 115.77/82.03 | (1719) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1726) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v0 & sdtasdt0(xp, xm) = v1) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (207), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1336) can reduce 1339 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (201), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1336) can reduce 1339 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (209), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1336) can reduce 1339 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (1716), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1739) all_0_0_0 = sz00 % 115.77/82.03 | % 115.77/82.03 | Combining equations (1739,1287) yields a new equation: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1336) can reduce 1339 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1742) ~ (all_0_0_0 = sz00) % 115.77/82.03 | (1743) all_0_0_0 = sz10 % 115.77/82.03 | % 115.77/82.03 | Combining equations (1743,1287) yields a new equation: % 115.77/82.03 | (1334) xm = sz10 % 115.77/82.03 | % 115.77/82.03 | From (1334) and (1331) follows: % 115.77/82.03 | (149) sdtlseqdt0(sz10, sz10) % 115.77/82.03 | % 115.77/82.03 | From (1334) and (1717) follows: % 115.77/82.03 | (1746) ~ sdtlseqdt0(sz10, sz10) % 115.77/82.03 | % 115.77/82.03 | Using (149) and (1746) yields: % 115.77/82.03 | (1719) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1748) ~ sdtlseqdt0(xm, sz10) % 115.77/82.03 | (1333) sdtlseqdt0(sz10, xm) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (137), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | From (1336) and (1748) follows: % 115.77/82.03 | (4388) ~ sdtlseqdt0(sz00, sz10) % 115.77/82.03 | % 115.77/82.03 | Using (4218) and (4388) yields: % 115.77/82.03 | (1719) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.77/82.03 | % 115.77/82.03 +-Applying beta-rule and splitting (194), into two cases. % 115.77/82.03 |-Branch one: % 115.77/82.03 | (1336) xm = sz00 % 115.77/82.03 | % 115.77/82.03 | Equations (1336) can reduce 1339 to: % 115.77/82.03 | (174) $false % 115.77/82.03 | % 115.77/82.03 |-The branch is then unsatisfiable % 115.77/82.03 |-Branch two: % 115.77/82.03 | (1339) ~ (xm = sz00) % 115.77/82.03 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (1302), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1336) xm = sz00 % 115.77/82.04 | % 115.77/82.04 | Equations (1336) can reduce 1339 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1339) ~ (xm = sz00) % 115.77/82.04 | (1361) xp = xn % 115.77/82.04 | % 115.77/82.04 | Equations (1361) can reduce 18 to: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | % 115.77/82.04 | From (1361) and (1213) follows: % 115.77/82.04 | (2640) sdtpldt0(xn, sz10) = sz10 % 115.77/82.04 | % 115.77/82.04 | From (1361) and (1330) follows: % 115.77/82.04 | (1329) sdtlseqdt0(xn, sz00) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (490), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (542), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (550), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.77/82.04 | % 115.77/82.04 | Instantiating (1537) with all_495_0_4548, all_495_1_4549, all_495_2_4550 yields: % 115.77/82.04 | (6323) ~ (all_495_0_4548 = all_495_1_4549) & ~ (all_495_2_4550 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_4548 & sdtpldt0(sz10, sz10) = all_495_1_4549 & sdtpldt0(sz10, sz10) = all_495_2_4550 & sdtlseqdt0(all_495_1_4549, all_495_0_4548) & sdtlseqdt0(all_495_2_4550, all_83_0_38) % 115.77/82.04 | % 115.77/82.04 | Applying alpha-rule on (6323) yields: % 115.77/82.04 | (6324) sdtpldt0(sz10, sz10) = all_495_1_4549 % 115.77/82.04 | (6325) sdtlseqdt0(all_495_1_4549, all_495_0_4548) % 115.77/82.04 | (6326) sdtlseqdt0(all_495_2_4550, all_83_0_38) % 115.77/82.04 | (6327) ~ (all_495_0_4548 = all_495_1_4549) % 115.77/82.04 | (6328) sdtpldt0(xn, sz10) = all_495_0_4548 % 115.77/82.04 | (6329) ~ (all_495_2_4550 = all_83_0_38) % 115.77/82.04 | (6330) sdtpldt0(sz10, sz10) = all_495_2_4550 % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (549), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (488), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (551), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1372) xn = sz10 % 115.77/82.04 | % 115.77/82.04 | Equations (1372) can reduce 1364 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1364) ~ (xn = sz10) % 115.77/82.04 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 115.77/82.04 | % 115.77/82.04 | Instantiating (1502) with all_517_0_4556, all_517_1_4557, all_517_2_4558 yields: % 115.77/82.04 | (6343) ~ (all_517_0_4556 = all_83_0_38) & ~ (all_517_1_4557 = all_517_2_4558) & sdtpldt0(xn, xn) = all_517_0_4556 & sdtpldt0(xn, xn) = all_517_1_4557 & sdtpldt0(xn, sz10) = all_517_2_4558 & sdtlseqdt0(all_517_2_4558, all_517_1_4557) & sdtlseqdt0(all_83_0_38, all_517_0_4556) % 115.77/82.04 | % 115.77/82.04 | Applying alpha-rule on (6343) yields: % 115.77/82.04 | (6344) sdtpldt0(xn, xn) = all_517_0_4556 % 115.77/82.04 | (6345) sdtpldt0(xn, xn) = all_517_1_4557 % 115.77/82.04 | (6346) ~ (all_517_1_4557 = all_517_2_4558) % 115.77/82.04 | (6347) sdtpldt0(xn, sz10) = all_517_2_4558 % 115.77/82.04 | (6348) ~ (all_517_0_4556 = all_83_0_38) % 115.77/82.04 | (6349) sdtlseqdt0(all_83_0_38, all_517_0_4556) % 115.77/82.04 | (6350) sdtlseqdt0(all_517_2_4558, all_517_1_4557) % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (1018), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1336) xm = sz00 % 115.77/82.04 | % 115.77/82.04 | Equations (1336) can reduce 1339 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1339) ~ (xm = sz00) % 115.77/82.04 | (1712) all_212_0_127 = xn % 115.77/82.04 | % 115.77/82.04 +-Applying beta-rule and splitting (1300), into two cases. % 115.77/82.04 |-Branch one: % 115.77/82.04 | (1336) xm = sz00 % 115.77/82.04 | % 115.77/82.04 | Equations (1336) can reduce 1339 to: % 115.77/82.04 | (174) $false % 115.77/82.04 | % 115.77/82.04 |-The branch is then unsatisfiable % 115.77/82.04 |-Branch two: % 115.77/82.04 | (1339) ~ (xm = sz00) % 115.77/82.04 | (1477) all_214_0_128 = xn % 115.77/82.04 | % 115.77/82.04 | From (1477) and (725) follows: % 115.77/82.04 | (113) aNaturalNumber0(xn) % 115.77/82.04 | % 115.77/82.04 | Instantiating formula (16) with xn, sz10, all_495_0_4548, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_4548, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 115.77/82.04 | (6360) all_495_0_4548 = all_83_2_40 % 115.77/82.04 | % 115.77/82.04 | Instantiating formula (16) with xn, sz10, all_495_0_4548, all_517_2_4558 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_4558, sdtpldt0(xn, sz10) = all_495_0_4548, yields: % 115.77/82.04 | (6361) all_517_2_4558 = all_495_0_4548 % 115.77/82.04 | % 115.77/82.04 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_4558 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_4558, sdtpldt0(xn, sz10) = sz10, yields: % 115.77/82.04 | (6362) all_517_2_4558 = sz10 % 115.77/82.04 | % 115.77/82.04 | Combining equations (6361,6362) yields a new equation: % 115.77/82.04 | (6363) all_495_0_4548 = sz10 % 115.77/82.04 | % 115.77/82.05 | Simplifying 6363 yields: % 115.77/82.05 | (6364) all_495_0_4548 = sz10 % 115.77/82.05 | % 115.77/82.05 | Combining equations (6360,6364) yields a new equation: % 115.77/82.05 | (3386) all_83_2_40 = sz10 % 115.77/82.05 | % 115.77/82.05 | Simplifying 3386 yields: % 115.77/82.05 | (2392) all_83_2_40 = sz10 % 115.77/82.05 | % 115.77/82.05 | From (2392) and (1194) follows: % 115.77/82.05 | (239) sdtlseqdt0(sz10, xn) % 115.77/82.05 | % 115.77/82.05 | From (2392) and (1199) follows: % 115.77/82.05 | (52) aNaturalNumber0(sz10) % 115.77/82.05 | % 115.77/82.05 | Instantiating formula (71) with sz00, xn, sz10 and discharging atoms sdtlseqdt0(xn, sz00), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), aNaturalNumber0(sz00), ~ sdtlseqdt0(sz10, sz00), yields: % 115.77/82.05 | (1719) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (3604) ~ sdtlseqdt0(xp, sz00) % 115.77/82.05 | (3605) sdtlseqdt0(sz00, xp) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (137), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | From (1336) and (479) follows: % 115.77/82.05 | (1330) sdtlseqdt0(xp, sz00) % 115.77/82.05 | % 115.77/82.05 | Using (1330) and (3604) yields: % 115.77/82.05 | (1719) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (194), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1336) can reduce 1339 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (1302), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1336) can reduce 1339 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1361) xp = xn % 115.77/82.05 | % 115.77/82.05 | From (1361) and (3604) follows: % 115.77/82.05 | (3619) ~ sdtlseqdt0(xn, sz00) % 115.77/82.05 | % 115.77/82.05 | Using (1329) and (3619) yields: % 115.77/82.05 | (1719) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (3621) ~ sdtlseqdt0(xr, sz00) % 115.77/82.05 | (3622) sdtlseqdt0(sz00, xr) % 115.77/82.05 | % 115.77/82.05 | From (310) and (3621) follows: % 115.77/82.05 | (3619) ~ sdtlseqdt0(xn, sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (151), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1330) sdtlseqdt0(xp, sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (148), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1331) sdtlseqdt0(xm, sz10) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (123), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1332) sdtlseqdt0(sz10, all_0_0_0) % 115.77/82.05 | % 115.77/82.05 | From (1287) and (1332) follows: % 115.77/82.05 | (1333) sdtlseqdt0(sz10, xm) % 115.77/82.05 | % 115.77/82.05 | Instantiating formula (2) with xm, sz10 and discharging atoms sdtlseqdt0(xm, sz10), sdtlseqdt0(sz10, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), yields: % 115.77/82.05 | (1334) xm = sz10 % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (1301), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1340) all_212_0_127 = xp % 115.77/82.05 | % 115.77/82.05 | Equations (1334) can reduce 1339 to: % 115.77/82.05 | (88) ~ (sz10 = sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (201), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 115.77/82.05 | % 115.77/82.05 | Equations (1334) can reduce 1339 to: % 115.77/82.05 | (88) ~ (sz10 = sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (210), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1352) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.05 | % 115.77/82.05 | Equations (1334) can reduce 1339 to: % 115.77/82.05 | (88) ~ (sz10 = sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (203), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1358) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 115.77/82.05 | % 115.77/82.05 | Equations (1334) can reduce 1339 to: % 115.77/82.05 | (88) ~ (sz10 = sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (1358), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1360) xr = xp % 115.77/82.05 | % 115.77/82.05 | Combining equations (310,1360) yields a new equation: % 115.77/82.05 | (1361) xp = xn % 115.77/82.05 | % 115.77/82.05 | From (1361) and (1330) follows: % 115.77/82.05 | (1329) sdtlseqdt0(xn, sz00) % 115.77/82.05 | % 115.77/82.05 | Using (1329) and (3619) yields: % 115.77/82.05 | (1719) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1590) ~ (xr = xp) % 115.77/82.05 | (1591) ? [v0] : ? [v1] : ( ~ (v1 = all_15_0_6) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xr) = v0) % 115.77/82.05 | % 115.77/82.05 | Equations (310) can reduce 1590 to: % 115.77/82.05 | (1592) ~ (xp = xn) % 115.77/82.05 | % 115.77/82.05 | Simplifying 1592 yields: % 115.77/82.05 | (1593) ~ (xp = xn) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (142), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1361) xp = xn % 115.77/82.05 | % 115.77/82.05 | Equations (1361) can reduce 1593 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1593) ~ (xp = xn) % 115.77/82.05 | (1597) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xp, xm) = v2 & sdtpldt0(xm, xp) = v0 & sdtpldt0(xm, xn) = v1 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (209), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1339) ~ (xm = sz00) % 115.77/82.05 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.05 | % 115.77/82.05 | Equations (1334) can reduce 1339 to: % 115.77/82.05 | (88) ~ (sz10 = sz00) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (571), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1363) all_54_0_19 = xn % 115.77/82.05 | % 115.77/82.05 | Combining equations (1200,1363) yields a new equation: % 115.77/82.05 | (1605) xp = xn % 115.77/82.05 | % 115.77/82.05 | Simplifying 1605 yields: % 115.77/82.05 | (1361) xp = xn % 115.77/82.05 | % 115.77/82.05 | Equations (1361) can reduce 1593 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.05 | (1608) ~ (all_54_0_19 = xn) % 115.77/82.05 | (1609) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_54_0_19, sz10) = v0 & sdtpldt0(xn, sz10) = v1) % 115.77/82.05 | % 115.77/82.05 | Equations (1200) can reduce 1608 to: % 115.77/82.05 | (1593) ~ (xp = xn) % 115.77/82.05 | % 115.77/82.05 +-Applying beta-rule and splitting (190), into two cases. % 115.77/82.05 |-Branch one: % 115.77/82.05 | (1336) xm = sz00 % 115.77/82.05 | % 115.77/82.05 | Combining equations (1336,1334) yields a new equation: % 115.77/82.05 | (1337) sz10 = sz00 % 115.77/82.05 | % 115.77/82.05 | Equations (1337) can reduce 88 to: % 115.77/82.05 | (174) $false % 115.77/82.05 | % 115.77/82.05 |-The branch is then unsatisfiable % 115.77/82.05 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1615) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.06 | % 115.77/82.06 | Equations (1334) can reduce 1339 to: % 115.77/82.06 | (88) ~ (sz10 = sz00) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1602), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1620) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (474), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1624) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, xp) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (141), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1628) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xn) & ~ (v1 = v0) & sdtpldt0(xr, xp) = v0 & sdtpldt0(xr, xn) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xn, v2)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (208), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1336) xm = sz00 % 115.77/82.06 | % 115.77/82.06 | Combining equations (1336,1334) yields a new equation: % 115.77/82.06 | (1337) sz10 = sz00 % 115.77/82.06 | % 115.77/82.06 | Equations (1337) can reduce 88 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1633) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.06 | % 115.77/82.06 | Equations (1334) can reduce 1339 to: % 115.77/82.06 | (88) ~ (sz10 = sz00) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (525), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1638) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xp, sz10) = v1 & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1633), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1642) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (221), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1360) xr = xp % 115.77/82.06 | % 115.77/82.06 | Combining equations (310,1360) yields a new equation: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1590) ~ (xr = xp) % 115.77/82.06 | (1647) ? [v0] : ? [v1] : ( ~ (v1 = all_17_0_11) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xr) = v0) % 115.77/82.06 | % 115.77/82.06 | Equations (310) can reduce 1590 to: % 115.77/82.06 | (1592) ~ (xp = xn) % 115.77/82.06 | % 115.77/82.06 | Simplifying 1592 yields: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1352), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1653) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1300), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1336) xm = sz00 % 115.77/82.06 | % 115.77/82.06 | Combining equations (1336,1334) yields a new equation: % 115.77/82.06 | (1337) sz10 = sz00 % 115.77/82.06 | % 115.77/82.06 | Equations (1337) can reduce 88 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1477) all_214_0_128 = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1334) can reduce 1339 to: % 115.77/82.06 | (88) ~ (sz10 = sz00) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (229), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1663) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xp, xm) = v0 & sdtpldt0(xn, xm) = v1) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (220), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1667) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (207), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1336) xm = sz00 % 115.77/82.06 | % 115.77/82.06 | Combining equations (1336,1334) yields a new equation: % 115.77/82.06 | (1337) sz10 = sz00 % 115.77/82.06 | % 115.77/82.06 | Equations (1337) can reduce 88 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.06 | % 115.77/82.06 | Equations (1334) can reduce 1339 to: % 115.77/82.06 | (88) ~ (sz10 = sz00) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (503), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1677) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(xp, sz10) = v2 & sdtpldt0(sz10, xp) = v0 & sdtpldt0(sz10, xn) = v1 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (222), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1681) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_13_0_5) & sdtpldt0(xp, xm) = v1 & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_13_0_5, v0)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1672), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1685) ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (193), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1336) xm = sz00 % 115.77/82.06 | % 115.77/82.06 | Combining equations (1336,1334) yields a new equation: % 115.77/82.06 | (1337) sz10 = sz00 % 115.77/82.06 | % 115.77/82.06 | Equations (1337) can reduce 88 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1690) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v1 & sdtasdt0(xm, xp) = v0) % 115.77/82.06 | % 115.77/82.06 | Equations (1334) can reduce 1339 to: % 115.77/82.06 | (88) ~ (sz10 = sz00) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1615), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1695) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xm, xn) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (214), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1699) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xn) & sdtpldt0(xr, xn) = v0 & sdtpldt0(xp, xr) = v1 & sdtpldt0(xn, xr) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(xn, v0)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (248), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1703) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_3_3) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xp, all_0_4_4) = v1 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_3_3, v0)) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (475), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1593) ~ (xp = xn) % 115.77/82.06 | (1707) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xp) = v1 & sdtpldt0(xm, xn) = v0) % 115.77/82.06 | % 115.77/82.06 +-Applying beta-rule and splitting (1018), into two cases. % 115.77/82.06 |-Branch one: % 115.77/82.06 | (1336) xm = sz00 % 115.77/82.06 | % 115.77/82.06 | Combining equations (1336,1334) yields a new equation: % 115.77/82.06 | (1337) sz10 = sz00 % 115.77/82.06 | % 115.77/82.06 | Equations (1337) can reduce 88 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.06 |-Branch two: % 115.77/82.06 | (1339) ~ (xm = sz00) % 115.77/82.06 | (1712) all_212_0_127 = xn % 115.77/82.06 | % 115.77/82.06 | Combining equations (1712,1340) yields a new equation: % 115.77/82.06 | (1361) xp = xn % 115.77/82.06 | % 115.77/82.06 | Equations (1361) can reduce 1593 to: % 115.77/82.06 | (174) $false % 115.77/82.06 | % 115.77/82.06 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1715) ~ sdtlseqdt0(sz10, all_0_0_0) % 115.77/82.07 | (1716) all_0_0_0 = sz10 | all_0_0_0 = sz00 % 115.77/82.07 | % 115.77/82.07 | From (1287) and (1715) follows: % 115.77/82.07 | (1717) ~ sdtlseqdt0(sz10, xm) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (136), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1333) sdtlseqdt0(sz10, xm) % 115.77/82.07 | % 115.77/82.07 | Using (1333) and (1717) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1717) ~ sdtlseqdt0(sz10, xm) % 115.77/82.07 | (1721) xm = sz10 | xm = sz00 % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (205), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | From (1336) and (4610) follows: % 115.77/82.07 | (154) sdtlseqdt0(sz00, sz00) % 115.77/82.07 | % 115.77/82.07 | From (1336) and (3045) follows: % 115.77/82.07 | (3628) ~ sdtlseqdt0(sz00, sz00) % 115.77/82.07 | % 115.77/82.07 | Using (154) and (3628) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (1726) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xr, xm) = v0 & sdtasdt0(xp, xm) = v1) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (207), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (1672) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_15_1_7) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, xp) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(all_15_1_7, v1)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (201), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (1346) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_3_9) & sdtasdt0(xp, xm) = v1 & sdtasdt0(xm, xn) = v0) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (209), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (1602) xp = xn | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, xm) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, v1)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (1716), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1739) all_0_0_0 = sz00 % 115.77/82.07 | % 115.77/82.07 | Combining equations (1739,1287) yields a new equation: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1742) ~ (all_0_0_0 = sz00) % 115.77/82.07 | (1743) all_0_0_0 = sz10 % 115.77/82.07 | % 115.77/82.07 | Combining equations (1743,1287) yields a new equation: % 115.77/82.07 | (1334) xm = sz10 % 115.77/82.07 | % 115.77/82.07 | From (1334) and (1331) follows: % 115.77/82.07 | (149) sdtlseqdt0(sz10, sz10) % 115.77/82.07 | % 115.77/82.07 | From (1334) and (1717) follows: % 115.77/82.07 | (1746) ~ sdtlseqdt0(sz10, sz10) % 115.77/82.07 | % 115.77/82.07 | Using (149) and (1746) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1748) ~ sdtlseqdt0(xm, sz10) % 115.77/82.07 | (1333) sdtlseqdt0(sz10, xm) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (137), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | From (1336) and (1748) follows: % 115.77/82.07 | (4388) ~ sdtlseqdt0(sz00, sz10) % 115.77/82.07 | % 115.77/82.07 | Using (4218) and (4388) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (194), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (1302), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (1361) xp = xn % 115.77/82.07 | % 115.77/82.07 | From (1361) and (1330) follows: % 115.77/82.07 | (1329) sdtlseqdt0(xn, sz00) % 115.77/82.07 | % 115.77/82.07 | Using (1329) and (3619) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (3604) ~ sdtlseqdt0(xp, sz00) % 115.77/82.07 | (3605) sdtlseqdt0(sz00, xp) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (147), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1379) xn = sz00 % 115.77/82.07 | % 115.77/82.07 | From (1379) and (9) follows: % 115.77/82.07 | (1330) sdtlseqdt0(xp, sz00) % 115.77/82.07 | % 115.77/82.07 | Using (1330) and (3604) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1365) ~ (xn = sz00) % 115.77/82.07 | (1391) xn = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (1021), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1379) xn = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1379) can reduce 1365 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1365) ~ (xn = sz00) % 115.77/82.07 | (1415) all_146_0_54 = xm % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (127), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1377) xr = sz00 % 115.77/82.07 | % 115.77/82.07 | Combining equations (1377,310) yields a new equation: % 115.77/82.07 | (1379) xn = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1379) can reduce 1365 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1381) ~ (xr = sz00) % 115.77/82.07 | (1382) xr = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (137), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | From (1336) and (479) follows: % 115.77/82.07 | (1330) sdtlseqdt0(xp, sz00) % 115.77/82.07 | % 115.77/82.07 | Using (1330) and (3604) yields: % 115.77/82.07 | (1719) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (2630) xm = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xm) & aNaturalNumber0(v0)) % 115.77/82.07 | % 115.77/82.07 +-Applying beta-rule and splitting (194), into two cases. % 115.77/82.07 |-Branch one: % 115.77/82.07 | (1336) xm = sz00 % 115.77/82.07 | % 115.77/82.07 | Equations (1336) can reduce 1339 to: % 115.77/82.07 | (174) $false % 115.77/82.07 | % 115.77/82.07 |-The branch is then unsatisfiable % 115.77/82.07 |-Branch two: % 115.77/82.07 | (1339) ~ (xm = sz00) % 115.77/82.07 | (2634) xr = xp | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xr) = v0 & sdtasdt0(xm, xp) = v1) % 115.77/82.07 | % 115.77/82.08 +-Applying beta-rule and splitting (1302), into two cases. % 115.77/82.08 |-Branch one: % 115.77/82.08 | (1336) xm = sz00 % 115.77/82.08 | % 115.77/82.08 | Equations (1336) can reduce 1339 to: % 115.77/82.08 | (174) $false % 115.77/82.08 | % 115.77/82.08 |-The branch is then unsatisfiable % 115.77/82.08 |-Branch two: % 115.77/82.08 | (1339) ~ (xm = sz00) % 115.77/82.08 | (1361) xp = xn % 115.77/82.08 | % 115.77/82.08 | Equations (1361) can reduce 18 to: % 115.77/82.08 | (1364) ~ (xn = sz10) % 115.77/82.08 | % 115.77/82.08 | From (1361) and (1277) follows: % 115.77/82.08 | (53) sdtasdt0(xn, xm) = all_0_2_2 % 115.77/82.08 | % 115.77/82.08 | From (1361) and (1213) follows: % 115.77/82.08 | (2640) sdtpldt0(xn, sz10) = sz10 % 115.77/82.08 | % 115.77/82.08 | From (1361) and (451) follows: % 115.77/82.08 | (2641) sdtpldt0(xm, xn) = xm % 115.77/82.08 | % 115.77/82.08 | From (1361) and (265) follows: % 115.77/82.08 | (3197) sdtpldt0(sz10, all_52_0_18) = xn % 115.77/82.08 | % 115.77/82.08 +-Applying beta-rule and splitting (490), into two cases. % 115.77/82.08 |-Branch one: % 115.77/82.08 | (1372) xn = sz10 % 115.77/82.08 | % 115.77/82.08 | Equations (1372) can reduce 1364 to: % 115.77/82.08 | (174) $false % 115.77/82.08 | % 115.77/82.08 |-The branch is then unsatisfiable % 115.77/82.08 |-Branch two: % 115.77/82.08 | (1364) ~ (xn = sz10) % 115.77/82.08 | (1529) ? [v0] : ? [v1] : ( ~ (v1 = all_0_4_4) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(sz10, xm) = v1) % 115.77/82.08 | % 115.77/82.08 | Instantiating (1529) with all_484_0_5179, all_484_1_5180 yields: % 115.77/82.08 | (6637) ~ (all_484_0_5179 = all_0_4_4) & ~ (all_484_1_5180 = all_102_2_49) & sdtpldt0(xm, xn) = all_484_1_5180 & sdtpldt0(sz10, xm) = all_484_0_5179 % 115.77/82.08 | % 115.77/82.08 | Applying alpha-rule on (6637) yields: % 115.77/82.08 | (6638) ~ (all_484_0_5179 = all_0_4_4) % 115.77/82.08 | (6639) ~ (all_484_1_5180 = all_102_2_49) % 115.77/82.08 | (6640) sdtpldt0(xm, xn) = all_484_1_5180 % 116.00/82.08 | (6641) sdtpldt0(sz10, xm) = all_484_0_5179 % 116.00/82.08 | % 116.00/82.08 +-Applying beta-rule and splitting (542), into two cases. % 116.00/82.08 |-Branch one: % 116.00/82.08 | (1372) xn = sz10 % 116.00/82.08 | % 116.00/82.08 | Equations (1372) can reduce 1364 to: % 116.00/82.08 | (174) $false % 116.00/82.08 | % 116.00/82.08 |-The branch is then unsatisfiable % 116.00/82.08 |-Branch two: % 116.00/82.08 | (1364) ~ (xn = sz10) % 116.00/82.08 | (1452) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_0_4_4)) % 116.00/82.08 | % 116.00/82.08 | Instantiating (1452) with all_490_0_5181, all_490_1_5182, all_490_2_5183 yields: % 116.00/82.08 | (6646) ~ (all_490_0_5181 = all_490_1_5182) & ~ (all_490_2_5183 = all_0_4_4) & sdtpldt0(xm, sz10) = all_490_2_5183 & sdtpldt0(xn, xm) = all_490_0_5181 & sdtpldt0(sz10, xm) = all_490_1_5182 & sdtlseqdt0(all_490_1_5182, all_490_0_5181) & sdtlseqdt0(all_490_2_5183, all_0_4_4) % 116.00/82.08 | % 116.00/82.08 | Applying alpha-rule on (6646) yields: % 116.00/82.08 | (6647) ~ (all_490_0_5181 = all_490_1_5182) % 116.00/82.08 | (6648) sdtlseqdt0(all_490_1_5182, all_490_0_5181) % 116.00/82.08 | (6649) sdtlseqdt0(all_490_2_5183, all_0_4_4) % 116.00/82.08 | (6650) sdtpldt0(xm, sz10) = all_490_2_5183 % 116.00/82.08 | (6651) sdtpldt0(xn, xm) = all_490_0_5181 % 116.00/82.08 | (6652) sdtpldt0(sz10, xm) = all_490_1_5182 % 116.00/82.08 | (6653) ~ (all_490_2_5183 = all_0_4_4) % 116.00/82.08 | % 116.00/82.08 +-Applying beta-rule and splitting (550), into two cases. % 116.00/82.08 |-Branch one: % 116.00/82.08 | (1372) xn = sz10 % 116.00/82.08 | % 116.00/82.08 | Equations (1372) can reduce 1364 to: % 116.00/82.08 | (174) $false % 116.00/82.08 | % 116.00/82.08 |-The branch is then unsatisfiable % 116.00/82.08 |-Branch two: % 116.00/82.08 | (1364) ~ (xn = sz10) % 116.00/82.08 | (1537) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_83_0_38) & sdtpldt0(xn, sz10) = v2 & sdtpldt0(sz10, sz10) = v1 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_83_0_38)) % 116.00/82.08 | % 116.00/82.08 | Instantiating (1537) with all_495_0_5184, all_495_1_5185, all_495_2_5186 yields: % 116.00/82.08 | (6658) ~ (all_495_0_5184 = all_495_1_5185) & ~ (all_495_2_5186 = all_83_0_38) & sdtpldt0(xn, sz10) = all_495_0_5184 & sdtpldt0(sz10, sz10) = all_495_1_5185 & sdtpldt0(sz10, sz10) = all_495_2_5186 & sdtlseqdt0(all_495_1_5185, all_495_0_5184) & sdtlseqdt0(all_495_2_5186, all_83_0_38) % 116.00/82.08 | % 116.00/82.08 | Applying alpha-rule on (6658) yields: % 116.00/82.08 | (6659) sdtpldt0(sz10, sz10) = all_495_2_5186 % 116.00/82.08 | (6660) sdtpldt0(xn, sz10) = all_495_0_5184 % 116.00/82.08 | (6661) ~ (all_495_0_5184 = all_495_1_5185) % 116.00/82.08 | (6662) sdtlseqdt0(all_495_2_5186, all_83_0_38) % 116.00/82.08 | (6663) sdtpldt0(sz10, sz10) = all_495_1_5185 % 116.00/82.08 | (6664) ~ (all_495_2_5186 = all_83_0_38) % 116.00/82.08 | (6665) sdtlseqdt0(all_495_1_5185, all_495_0_5184) % 116.00/82.08 | % 116.00/82.08 +-Applying beta-rule and splitting (549), into two cases. % 116.00/82.08 |-Branch one: % 116.00/82.08 | (1372) xn = sz10 % 116.00/82.08 | % 116.00/82.08 | Equations (1372) can reduce 1364 to: % 116.00/82.08 | (174) $false % 116.00/82.08 | % 116.00/82.08 |-The branch is then unsatisfiable % 116.00/82.08 |-Branch two: % 116.00/82.08 | (1364) ~ (xn = sz10) % 116.00/82.08 | (1468) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_1_48) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_1_48, v2)) % 116.00/82.08 | % 116.00/82.08 | Instantiating (1468) with all_501_0_5187, all_501_1_5188, all_501_2_5189 yields: % 116.00/82.08 | (6670) ~ (all_501_0_5187 = all_102_1_48) & ~ (all_501_1_5188 = all_501_2_5189) & sdtpldt0(xm, xn) = all_501_1_5188 & sdtpldt0(xm, sz10) = all_501_2_5189 & sdtpldt0(xn, xm) = all_501_0_5187 & sdtlseqdt0(all_501_2_5189, all_501_1_5188) & sdtlseqdt0(all_102_1_48, all_501_0_5187) % 116.00/82.08 | % 116.00/82.08 | Applying alpha-rule on (6670) yields: % 116.00/82.09 | (6671) ~ (all_501_0_5187 = all_102_1_48) % 116.00/82.09 | (6672) sdtpldt0(xn, xm) = all_501_0_5187 % 116.00/82.09 | (6673) sdtlseqdt0(all_102_1_48, all_501_0_5187) % 116.00/82.09 | (6674) sdtpldt0(xm, sz10) = all_501_2_5189 % 116.00/82.09 | (6675) sdtpldt0(xm, xn) = all_501_1_5188 % 116.00/82.09 | (6676) ~ (all_501_1_5188 = all_501_2_5189) % 116.00/82.09 | (6677) sdtlseqdt0(all_501_2_5189, all_501_1_5188) % 116.00/82.09 | % 116.00/82.09 +-Applying beta-rule and splitting (488), into two cases. % 116.00/82.09 |-Branch one: % 116.00/82.09 | (1372) xn = sz10 % 116.00/82.09 | % 116.00/82.09 | Equations (1372) can reduce 1364 to: % 116.00/82.09 | (174) $false % 116.00/82.09 | % 116.00/82.09 |-The branch is then unsatisfiable % 116.00/82.09 |-Branch two: % 116.00/82.09 | (1364) ~ (xn = sz10) % 116.00/82.09 | (1572) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(sz10, xm) = v0) % 116.00/82.09 | % 116.00/82.09 | Instantiating (1572) with all_507_0_5190, all_507_1_5191 yields: % 116.00/82.09 | (6682) ~ (all_507_0_5190 = all_507_1_5191) & sdtpldt0(xn, xm) = all_507_0_5190 & sdtpldt0(sz10, xm) = all_507_1_5191 % 116.00/82.09 | % 116.00/82.09 | Applying alpha-rule on (6682) yields: % 116.00/82.09 | (6683) ~ (all_507_0_5190 = all_507_1_5191) % 116.00/82.09 | (6684) sdtpldt0(xn, xm) = all_507_0_5190 % 116.00/82.09 | (6685) sdtpldt0(sz10, xm) = all_507_1_5191 % 116.00/82.09 | % 116.00/82.09 +-Applying beta-rule and splitting (534), into two cases. % 116.00/82.09 |-Branch one: % 116.00/82.09 | (2697) all_0_4_4 = xm % 116.00/82.09 | % 116.00/82.09 | From (2697) and (759) follows: % 116.00/82.09 | (6687) sdtpldt0(all_52_0_18, xm) = all_240_0_145 % 116.00/82.09 | % 116.00/82.09 | From (2697) and (143) follows: % 116.00/82.09 | (2641) sdtpldt0(xm, xn) = xm % 116.00/82.09 | % 116.00/82.09 | From (2697) and (12) follows: % 116.00/82.09 | (6689) sdtpldt0(xn, xm) = xm % 116.00/82.09 | % 116.00/82.09 | From (2697) and (1274) follows: % 116.00/82.09 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 116.00/82.09 | % 116.00/82.09 | From (2697) and (144) follows: % 116.02/82.09 | (107) aNaturalNumber0(xm) % 116.02/82.09 | % 116.02/82.09 +-Applying beta-rule and splitting (551), into two cases. % 116.02/82.09 |-Branch one: % 116.02/82.09 | (1372) xn = sz10 % 116.02/82.09 | % 116.02/82.09 | Equations (1372) can reduce 1364 to: % 116.02/82.09 | (174) $false % 116.02/82.09 | % 116.02/82.09 |-The branch is then unsatisfiable % 116.02/82.09 |-Branch two: % 116.02/82.09 | (1364) ~ (xn = sz10) % 116.02/82.09 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 116.02/82.09 | % 116.02/82.09 | Instantiating (1502) with all_517_0_5192, all_517_1_5193, all_517_2_5194 yields: % 116.02/82.09 | (6696) ~ (all_517_0_5192 = all_83_0_38) & ~ (all_517_1_5193 = all_517_2_5194) & sdtpldt0(xn, xn) = all_517_0_5192 & sdtpldt0(xn, xn) = all_517_1_5193 & sdtpldt0(xn, sz10) = all_517_2_5194 & sdtlseqdt0(all_517_2_5194, all_517_1_5193) & sdtlseqdt0(all_83_0_38, all_517_0_5192) % 116.02/82.09 | % 116.02/82.09 | Applying alpha-rule on (6696) yields: % 116.02/82.09 | (6697) ~ (all_517_0_5192 = all_83_0_38) % 116.02/82.09 | (6698) ~ (all_517_1_5193 = all_517_2_5194) % 116.02/82.09 | (6699) sdtpldt0(xn, xn) = all_517_1_5193 % 116.02/82.10 | (6700) sdtpldt0(xn, sz10) = all_517_2_5194 % 116.02/82.10 | (6701) sdtlseqdt0(all_517_2_5194, all_517_1_5193) % 116.02/82.10 | (6702) sdtpldt0(xn, xn) = all_517_0_5192 % 116.02/82.10 | (6703) sdtlseqdt0(all_83_0_38, all_517_0_5192) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (1018), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1336) xm = sz00 % 116.02/82.10 | % 116.02/82.10 | Equations (1336) can reduce 1339 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1339) ~ (xm = sz00) % 116.02/82.10 | (1712) all_212_0_127 = xn % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (583), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (545), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 116.02/82.10 | % 116.02/82.10 | Instantiating (1587) with all_533_0_5198, all_533_1_5199, all_533_2_5200 yields: % 116.02/82.10 | (6716) ~ (all_533_0_5198 = all_533_1_5199) & ~ (all_533_2_5200 = all_102_2_49) & sdtpldt0(xm, xn) = all_533_2_5200 & sdtpldt0(xn, xm) = all_533_0_5198 & sdtpldt0(sz10, xm) = all_533_1_5199 & sdtlseqdt0(all_533_1_5199, all_533_0_5198) & sdtlseqdt0(all_102_2_49, all_533_2_5200) % 116.02/82.10 | % 116.02/82.10 | Applying alpha-rule on (6716) yields: % 116.02/82.10 | (6717) sdtlseqdt0(all_102_2_49, all_533_2_5200) % 116.02/82.10 | (6718) sdtpldt0(sz10, xm) = all_533_1_5199 % 116.02/82.10 | (6719) sdtlseqdt0(all_533_1_5199, all_533_0_5198) % 116.02/82.10 | (6720) sdtpldt0(xn, xm) = all_533_0_5198 % 116.02/82.10 | (6721) sdtpldt0(xm, xn) = all_533_2_5200 % 116.02/82.10 | (6722) ~ (all_533_0_5198 = all_533_1_5199) % 116.02/82.10 | (6723) ~ (all_533_2_5200 = all_102_2_49) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (1300), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1336) xm = sz00 % 116.02/82.10 | % 116.02/82.10 | Equations (1336) can reduce 1339 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1339) ~ (xm = sz00) % 116.02/82.10 | (1477) all_214_0_128 = xn % 116.02/82.10 | % 116.02/82.10 | From (1477) and (1288) follows: % 116.02/82.10 | (138) sdtasdt0(xm, xn) = all_0_2_2 % 116.02/82.10 | % 116.02/82.10 | From (1477) and (725) follows: % 116.02/82.10 | (113) aNaturalNumber0(xn) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (547), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (543), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 116.02/82.10 | % 116.02/82.10 | Instantiating (1421) with all_549_0_5204, all_549_1_5205, all_549_2_5206 yields: % 116.02/82.10 | (6738) ~ (all_549_0_5204 = all_0_4_4) & ~ (all_549_1_5205 = all_549_2_5206) & sdtpldt0(xm, xn) = all_549_1_5205 & sdtpldt0(xm, sz10) = all_549_2_5206 & sdtpldt0(sz10, xm) = all_549_0_5204 & sdtlseqdt0(all_549_0_5204, all_0_4_4) & sdtlseqdt0(all_549_2_5206, all_549_1_5205) % 116.02/82.10 | % 116.02/82.10 | Applying alpha-rule on (6738) yields: % 116.02/82.10 | (6739) sdtlseqdt0(all_549_0_5204, all_0_4_4) % 116.02/82.10 | (6740) ~ (all_549_0_5204 = all_0_4_4) % 116.02/82.10 | (6741) ~ (all_549_1_5205 = all_549_2_5206) % 116.02/82.10 | (6742) sdtpldt0(sz10, xm) = all_549_0_5204 % 116.02/82.10 | (6743) sdtpldt0(xm, xn) = all_549_1_5205 % 116.02/82.10 | (6744) sdtlseqdt0(all_549_2_5206, all_549_1_5205) % 116.02/82.10 | (6745) sdtpldt0(xm, sz10) = all_549_2_5206 % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (1391), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1456) ? [v0] : (isPrime0(v0) & doDivides0(v0, xn) & aNaturalNumber0(v0)) % 116.02/82.10 | % 116.02/82.10 +-Applying beta-rule and splitting (548), into two cases. % 116.02/82.10 |-Branch one: % 116.02/82.10 | (1372) xn = sz10 % 116.02/82.10 | % 116.02/82.10 | Equations (1372) can reduce 1364 to: % 116.02/82.10 | (174) $false % 116.02/82.10 | % 116.02/82.10 |-The branch is then unsatisfiable % 116.02/82.10 |-Branch two: % 116.02/82.10 | (1364) ~ (xn = sz10) % 116.02/82.10 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 116.02/82.10 | % 116.02/82.10 | Instantiating (1533) with all_560_0_5208, all_560_1_5209, all_560_2_5210 yields: % 116.02/82.10 | (6754) ~ (all_560_0_5208 = all_97_1_45) & ~ (all_560_1_5209 = all_560_2_5210) & sdtpldt0(all_0_4_4, xn) = all_560_1_5209 & sdtpldt0(all_0_4_4, sz10) = all_560_2_5210 & sdtpldt0(xn, all_0_4_4) = all_560_0_5208 & sdtlseqdt0(all_560_2_5210, all_560_1_5209) & sdtlseqdt0(all_97_1_45, all_560_0_5208) % 116.02/82.10 | % 116.02/82.10 | Applying alpha-rule on (6754) yields: % 116.02/82.10 | (6755) sdtpldt0(all_0_4_4, sz10) = all_560_2_5210 % 116.02/82.10 | (6756) sdtlseqdt0(all_560_2_5210, all_560_1_5209) % 116.02/82.11 | (6757) sdtpldt0(all_0_4_4, xn) = all_560_1_5209 % 116.02/82.11 | (6758) sdtpldt0(xn, all_0_4_4) = all_560_0_5208 % 116.02/82.11 | (6759) ~ (all_560_0_5208 = all_97_1_45) % 116.02/82.11 | (6760) sdtlseqdt0(all_97_1_45, all_560_0_5208) % 116.02/82.11 | (6761) ~ (all_560_1_5209 = all_560_2_5210) % 116.02/82.11 | % 116.02/82.11 | From (2697) and (6757) follows: % 116.02/82.11 | (6762) sdtpldt0(xm, xn) = all_560_1_5209 % 116.02/82.11 | % 116.02/82.11 | From (2697) and (6758) follows: % 116.02/82.11 | (6763) sdtpldt0(xn, xm) = all_560_0_5208 % 116.02/82.11 | % 116.02/82.11 +-Applying beta-rule and splitting (1382), into two cases. % 116.02/82.11 |-Branch one: % 116.02/82.11 | (1392) xr = sz10 % 116.02/82.11 | % 116.02/82.11 | Combining equations (310,1392) yields a new equation: % 116.02/82.11 | (1371) xn = sz10 % 116.02/82.11 | % 116.02/82.11 | Simplifying 1371 yields: % 116.02/82.11 | (1372) xn = sz10 % 116.02/82.11 | % 116.02/82.11 | Equations (1372) can reduce 1364 to: % 116.02/82.11 | (174) $false % 116.02/82.11 | % 116.02/82.11 |-The branch is then unsatisfiable % 116.02/82.11 |-Branch two: % 116.02/82.11 | (1396) ~ (xr = sz10) % 116.02/82.11 | (1397) ? [v0] : (isPrime0(v0) & doDivides0(v0, xr) & aNaturalNumber0(v0)) % 116.02/82.11 | % 116.02/82.11 | Equations (310) can reduce 1396 to: % 116.02/82.11 | (1364) ~ (xn = sz10) % 116.02/82.11 | % 116.02/82.11 +-Applying beta-rule and splitting (509), into two cases. % 116.02/82.11 |-Branch one: % 116.02/82.11 | (1372) xn = sz10 % 116.02/82.11 | % 116.02/82.11 | Equations (1372) can reduce 1364 to: % 116.02/82.11 | (174) $false % 116.02/82.11 | % 116.02/82.11 |-The branch is then unsatisfiable % 116.02/82.11 |-Branch two: % 116.02/82.11 | (1364) ~ (xn = sz10) % 116.02/82.11 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 116.02/82.11 | % 116.02/82.11 | Instantiating (1387) with all_571_0_5212, all_571_1_5213 yields: % 116.02/82.11 | (6775) ~ (all_571_0_5212 = all_102_1_48) & ~ (all_571_1_5213 = all_0_4_4) & sdtpldt0(xm, sz10) = all_571_1_5213 & sdtpldt0(xn, xm) = all_571_0_5212 % 116.02/82.11 | % 116.02/82.11 | Applying alpha-rule on (6775) yields: % 116.02/82.11 | (6776) ~ (all_571_0_5212 = all_102_1_48) % 116.08/82.11 | (6777) ~ (all_571_1_5213 = all_0_4_4) % 116.08/82.11 | (6778) sdtpldt0(xm, sz10) = all_571_1_5213 % 116.08/82.11 | (6779) sdtpldt0(xn, xm) = all_571_0_5212 % 116.08/82.11 | % 116.08/82.11 +-Applying beta-rule and splitting (544), into two cases. % 116.08/82.11 |-Branch one: % 116.08/82.11 | (1372) xn = sz10 % 116.08/82.11 | % 116.08/82.11 | Equations (1372) can reduce 1364 to: % 116.08/82.11 | (174) $false % 116.08/82.11 | % 116.08/82.11 |-The branch is then unsatisfiable % 116.08/82.11 |-Branch two: % 116.08/82.11 | (1364) ~ (xn = sz10) % 116.08/82.11 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 116.08/82.11 | % 116.08/82.11 | Instantiating (1411) with all_577_0_5214, all_577_1_5215, all_577_2_5216 yields: % 116.08/82.11 | (6784) ~ (all_577_0_5214 = all_577_1_5215) & ~ (all_577_2_5216 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = all_577_2_5216 & sdtpldt0(xn, all_0_4_4) = all_577_0_5214 & sdtpldt0(sz10, all_0_4_4) = all_577_1_5215 & sdtlseqdt0(all_577_1_5215, all_577_0_5214) & sdtlseqdt0(all_97_2_46, all_577_2_5216) % 116.08/82.11 | % 116.08/82.11 | Applying alpha-rule on (6784) yields: % 116.08/82.11 | (6785) sdtlseqdt0(all_577_1_5215, all_577_0_5214) % 116.08/82.11 | (6786) sdtpldt0(all_0_4_4, xn) = all_577_2_5216 % 116.08/82.11 | (6787) ~ (all_577_2_5216 = all_97_2_46) % 116.08/82.11 | (6788) sdtlseqdt0(all_97_2_46, all_577_2_5216) % 116.08/82.11 | (6789) sdtpldt0(sz10, all_0_4_4) = all_577_1_5215 % 116.08/82.11 | (6790) sdtpldt0(xn, all_0_4_4) = all_577_0_5214 % 116.08/82.11 | (6791) ~ (all_577_0_5214 = all_577_1_5215) % 116.08/82.11 | % 116.08/82.11 | From (2697) and (6786) follows: % 116.08/82.11 | (6792) sdtpldt0(xm, xn) = all_577_2_5216 % 116.08/82.11 | % 116.08/82.11 | From (2697) and (6790) follows: % 116.08/82.11 | (6793) sdtpldt0(xn, xm) = all_577_0_5214 % 116.08/82.11 | % 116.08/82.11 | From (2697) and (6789) follows: % 116.08/82.11 | (6794) sdtpldt0(sz10, xm) = all_577_1_5215 % 116.08/82.11 | % 116.08/82.11 +-Applying beta-rule and splitting (511), into two cases. % 116.08/82.11 |-Branch one: % 116.08/82.11 | (1372) xn = sz10 % 116.08/82.11 | % 116.08/82.11 | Equations (1372) can reduce 1364 to: % 116.08/82.11 | (174) $false % 116.08/82.11 | % 116.08/82.11 |-The branch is then unsatisfiable % 116.08/82.11 |-Branch two: % 116.08/82.11 | (1364) ~ (xn = sz10) % 116.08/82.11 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 116.08/82.11 | % 116.08/82.11 | Instantiating (1576) with all_583_0_5217, all_583_1_5218 yields: % 116.08/82.11 | (6799) ~ (all_583_0_5217 = all_583_1_5218) & sdtpldt0(xm, xn) = all_583_1_5218 & sdtpldt0(xm, sz10) = all_583_0_5217 % 116.08/82.11 | % 116.08/82.11 | Applying alpha-rule on (6799) yields: % 116.08/82.11 | (6800) ~ (all_583_0_5217 = all_583_1_5218) % 116.08/82.11 | (6801) sdtpldt0(xm, xn) = all_583_1_5218 % 116.08/82.11 | (6802) sdtpldt0(xm, sz10) = all_583_0_5217 % 116.08/82.11 | % 116.08/82.11 | Instantiating formula (16) with all_52_0_18, xm, all_240_0_145, all_228_0_135 and discharging atoms sdtpldt0(all_52_0_18, xm) = all_240_0_145, sdtpldt0(all_52_0_18, xm) = all_228_0_135, yields: % 116.08/82.12 | (6803) all_240_0_145 = all_228_0_135 % 116.08/82.12 | % 116.08/82.12 | Instantiating formula (16) with xm, xn, all_560_1_5209, all_583_1_5218 and discharging atoms sdtpldt0(xm, xn) = all_583_1_5218, sdtpldt0(xm, xn) = all_560_1_5209, yields: % 116.10/82.12 | (6804) all_583_1_5218 = all_560_1_5209 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, all_560_1_5209, all_577_2_5216 and discharging atoms sdtpldt0(xm, xn) = all_577_2_5216, sdtpldt0(xm, xn) = all_560_1_5209, yields: % 116.10/82.12 | (6805) all_577_2_5216 = all_560_1_5209 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, all_549_1_5205, all_577_2_5216 and discharging atoms sdtpldt0(xm, xn) = all_577_2_5216, sdtpldt0(xm, xn) = all_549_1_5205, yields: % 116.10/82.12 | (6806) all_577_2_5216 = all_549_1_5205 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, all_533_2_5200, all_583_1_5218 and discharging atoms sdtpldt0(xm, xn) = all_583_1_5218, sdtpldt0(xm, xn) = all_533_2_5200, yields: % 116.10/82.12 | (6807) all_583_1_5218 = all_533_2_5200 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, all_501_1_5188, all_560_1_5209 and discharging atoms sdtpldt0(xm, xn) = all_560_1_5209, sdtpldt0(xm, xn) = all_501_1_5188, yields: % 116.10/82.12 | (6808) all_560_1_5209 = all_501_1_5188 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, all_484_1_5180, all_501_1_5188 and discharging atoms sdtpldt0(xm, xn) = all_501_1_5188, sdtpldt0(xm, xn) = all_484_1_5180, yields: % 116.10/82.12 | (6809) all_501_1_5188 = all_484_1_5180 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xm, xn, xm, all_560_1_5209 and discharging atoms sdtpldt0(xm, xn) = all_560_1_5209, sdtpldt0(xm, xn) = xm, yields: % 116.10/82.12 | (6810) all_560_1_5209 = xm % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_571_0_5212, all_577_0_5214 and discharging atoms sdtpldt0(xn, xm) = all_577_0_5214, sdtpldt0(xn, xm) = all_571_0_5212, yields: % 116.10/82.12 | (6811) all_577_0_5214 = all_571_0_5212 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_533_0_5198, all_560_0_5208 and discharging atoms sdtpldt0(xn, xm) = all_560_0_5208, sdtpldt0(xn, xm) = all_533_0_5198, yields: % 116.10/82.12 | (6812) all_560_0_5208 = all_533_0_5198 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_507_0_5190, all_571_0_5212 and discharging atoms sdtpldt0(xn, xm) = all_571_0_5212, sdtpldt0(xn, xm) = all_507_0_5190, yields: % 116.10/82.12 | (6813) all_571_0_5212 = all_507_0_5190 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_507_0_5190, all_533_0_5198 and discharging atoms sdtpldt0(xn, xm) = all_533_0_5198, sdtpldt0(xn, xm) = all_507_0_5190, yields: % 116.10/82.12 | (6814) all_533_0_5198 = all_507_0_5190 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_501_0_5187, all_577_0_5214 and discharging atoms sdtpldt0(xn, xm) = all_577_0_5214, sdtpldt0(xn, xm) = all_501_0_5187, yields: % 116.10/82.12 | (6815) all_577_0_5214 = all_501_0_5187 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, all_490_0_5181, all_560_0_5208 and discharging atoms sdtpldt0(xn, xm) = all_560_0_5208, sdtpldt0(xn, xm) = all_490_0_5181, yields: % 116.10/82.12 | (6816) all_560_0_5208 = all_490_0_5181 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, xm, xm, all_571_0_5212 and discharging atoms sdtpldt0(xn, xm) = all_571_0_5212, sdtpldt0(xn, xm) = xm, yields: % 116.10/82.12 | (6817) all_571_0_5212 = xm % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, sz10, all_495_0_5184, all_83_2_40 and discharging atoms sdtpldt0(xn, sz10) = all_495_0_5184, sdtpldt0(xn, sz10) = all_83_2_40, yields: % 116.10/82.12 | (6818) all_495_0_5184 = all_83_2_40 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, sz10, all_495_0_5184, all_517_2_5194 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_5194, sdtpldt0(xn, sz10) = all_495_0_5184, yields: % 116.10/82.12 | (6819) all_517_2_5194 = all_495_0_5184 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with xn, sz10, sz10, all_517_2_5194 and discharging atoms sdtpldt0(xn, sz10) = all_517_2_5194, sdtpldt0(xn, sz10) = sz10, yields: % 116.10/82.12 | (6820) all_517_2_5194 = sz10 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (77) with xn, all_166_0_68, all_52_0_18, sz10 and discharging atoms sdtpldt0(sz10, all_166_0_68) = xn, sdtpldt0(sz10, all_52_0_18) = xn, aNaturalNumber0(all_166_0_68), aNaturalNumber0(all_52_0_18), aNaturalNumber0(sz10), yields: % 116.10/82.12 | (3360) all_166_0_68 = all_52_0_18 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_577_1_5215, all_102_2_49 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_5215, sdtpldt0(sz10, xm) = all_102_2_49, yields: % 116.10/82.12 | (6822) all_577_1_5215 = all_102_2_49 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_533_1_5199, all_549_0_5204 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_5204, sdtpldt0(sz10, xm) = all_533_1_5199, yields: % 116.10/82.12 | (6823) all_549_0_5204 = all_533_1_5199 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_507_1_5191, all_577_1_5215 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_5215, sdtpldt0(sz10, xm) = all_507_1_5191, yields: % 116.10/82.12 | (6824) all_577_1_5215 = all_507_1_5191 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_507_1_5191, all_533_1_5199 and discharging atoms sdtpldt0(sz10, xm) = all_533_1_5199, sdtpldt0(sz10, xm) = all_507_1_5191, yields: % 116.10/82.12 | (6825) all_533_1_5199 = all_507_1_5191 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_490_1_5182, all_577_1_5215 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_5215, sdtpldt0(sz10, xm) = all_490_1_5182, yields: % 116.10/82.12 | (6826) all_577_1_5215 = all_490_1_5182 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_484_0_5179, all_549_0_5204 and discharging atoms sdtpldt0(sz10, xm) = all_549_0_5204, sdtpldt0(sz10, xm) = all_484_0_5179, yields: % 116.10/82.12 | (6827) all_549_0_5204 = all_484_0_5179 % 116.10/82.12 | % 116.10/82.12 | Instantiating formula (16) with sz10, xm, all_97_2_46, all_577_1_5215 and discharging atoms sdtpldt0(sz10, xm) = all_577_1_5215, sdtpldt0(sz10, xm) = all_97_2_46, yields: % 116.10/82.12 | (6828) all_577_1_5215 = all_97_2_46 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6804,6807) yields a new equation: % 116.10/82.12 | (6829) all_560_1_5209 = all_533_2_5200 % 116.10/82.12 | % 116.10/82.12 | Simplifying 6829 yields: % 116.10/82.12 | (6830) all_560_1_5209 = all_533_2_5200 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6811,6815) yields a new equation: % 116.10/82.12 | (6831) all_571_0_5212 = all_501_0_5187 % 116.10/82.12 | % 116.10/82.12 | Simplifying 6831 yields: % 116.10/82.12 | (6832) all_571_0_5212 = all_501_0_5187 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6828,6826) yields a new equation: % 116.10/82.12 | (6833) all_490_1_5182 = all_97_2_46 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6822,6826) yields a new equation: % 116.10/82.12 | (6834) all_490_1_5182 = all_102_2_49 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6824,6826) yields a new equation: % 116.10/82.12 | (6835) all_507_1_5191 = all_490_1_5182 % 116.10/82.12 | % 116.10/82.12 | Simplifying 6835 yields: % 116.10/82.12 | (6836) all_507_1_5191 = all_490_1_5182 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6805,6806) yields a new equation: % 116.10/82.12 | (6837) all_560_1_5209 = all_549_1_5205 % 116.10/82.12 | % 116.10/82.12 | Simplifying 6837 yields: % 116.10/82.12 | (6838) all_560_1_5209 = all_549_1_5205 % 116.10/82.12 | % 116.10/82.12 | Combining equations (6813,6832) yields a new equation: % 116.10/82.12 | (6839) all_507_0_5190 = all_501_0_5187 % 116.10/82.12 | % 116.10/82.12 | Simplifying 6839 yields: % 116.10/82.12 | (6840) all_507_0_5190 = all_501_0_5187 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6817,6832) yields a new equation: % 116.10/82.13 | (6841) all_501_0_5187 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6812,6816) yields a new equation: % 116.10/82.13 | (6842) all_533_0_5198 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6842 yields: % 116.10/82.13 | (6843) all_533_0_5198 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6810,6838) yields a new equation: % 116.10/82.13 | (6844) all_549_1_5205 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6830,6838) yields a new equation: % 116.10/82.13 | (6845) all_549_1_5205 = all_533_2_5200 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6808,6838) yields a new equation: % 116.10/82.13 | (6846) all_549_1_5205 = all_501_1_5188 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6823,6827) yields a new equation: % 116.10/82.13 | (6847) all_533_1_5199 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6847 yields: % 116.10/82.13 | (6848) all_533_1_5199 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6846,6845) yields a new equation: % 116.10/82.13 | (6849) all_533_2_5200 = all_501_1_5188 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6844,6845) yields a new equation: % 116.10/82.13 | (6850) all_533_2_5200 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6814,6843) yields a new equation: % 116.10/82.13 | (6851) all_507_0_5190 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6851 yields: % 116.10/82.13 | (6852) all_507_0_5190 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6825,6848) yields a new equation: % 116.10/82.13 | (6853) all_507_1_5191 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6853 yields: % 116.10/82.13 | (6854) all_507_1_5191 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6849,6850) yields a new equation: % 116.10/82.13 | (6855) all_501_1_5188 = xm % 116.10/82.13 | % 116.10/82.13 | Simplifying 6855 yields: % 116.10/82.13 | (6856) all_501_1_5188 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6819,6820) yields a new equation: % 116.10/82.13 | (6857) all_495_0_5184 = sz10 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6857 yields: % 116.10/82.13 | (6858) all_495_0_5184 = sz10 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6840,6852) yields a new equation: % 116.10/82.13 | (6859) all_501_0_5187 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6859 yields: % 116.10/82.13 | (6860) all_501_0_5187 = all_490_0_5181 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6836,6854) yields a new equation: % 116.10/82.13 | (6861) all_490_1_5182 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Simplifying 6861 yields: % 116.10/82.13 | (6862) all_490_1_5182 = all_484_0_5179 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6841,6860) yields a new equation: % 116.10/82.13 | (6863) all_490_0_5181 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6809,6856) yields a new equation: % 116.10/82.13 | (6864) all_484_1_5180 = xm % 116.10/82.13 | % 116.10/82.13 | Simplifying 6864 yields: % 116.10/82.13 | (6865) all_484_1_5180 = xm % 116.10/82.13 | % 116.10/82.13 | Combining equations (6818,6858) yields a new equation: % 116.10/82.13 | (3386) all_83_2_40 = sz10 % 116.10/82.13 | % 116.10/82.13 | Simplifying 3386 yields: % 116.10/82.13 | (2392) all_83_2_40 = sz10 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6833,6862) yields a new equation: % 116.10/82.13 | (6868) all_484_0_5179 = all_97_2_46 % 116.10/82.13 | % 116.10/82.13 | Combining equations (6834,6862) yields a new equation: % 116.10/82.14 | (6869) all_484_0_5179 = all_102_2_49 % 116.10/82.14 | % 116.10/82.14 | Combining equations (6869,6868) yields a new equation: % 116.10/82.14 | (3390) all_102_2_49 = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | Simplifying 3390 yields: % 116.10/82.14 | (2813) all_102_2_49 = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | Equations (2392) can reduce 1158 to: % 116.10/82.14 | (1428) ~ (xn = sz10) % 116.10/82.14 | % 116.10/82.14 | Simplifying 1428 yields: % 116.10/82.14 | (1364) ~ (xn = sz10) % 116.10/82.14 | % 116.10/82.14 | From (2813) and (1173) follows: % 116.10/82.14 | (6874) sdtpldt0(all_97_2_46, xn) = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | From (6803) and (6687) follows: % 116.10/82.14 | (736) sdtpldt0(all_52_0_18, xm) = all_228_0_135 % 116.10/82.14 | % 116.10/82.14 | From (6865) and (6640) follows: % 116.10/82.14 | (2641) sdtpldt0(xm, xn) = xm % 116.10/82.14 | % 116.10/82.14 | From (2813) and (376) follows: % 116.10/82.14 | (2698) sdtpldt0(xm, sz10) = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | From (2813) and (1187) follows: % 116.10/82.14 | (6878) sdtpldt0(xn, all_97_2_46) = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | From (6863) and (6651) follows: % 116.10/82.14 | (6689) sdtpldt0(xn, xm) = xm % 116.10/82.14 | % 116.10/82.14 | From (2392) and (337) follows: % 116.10/82.14 | (2640) sdtpldt0(xn, sz10) = sz10 % 116.10/82.14 | % 116.10/82.14 | From (2813) and (494) follows: % 116.10/82.14 | (2699) sdtpldt0(sz10, xm) = all_97_2_46 % 116.10/82.14 | % 116.10/82.14 | From (2392) and (1194) follows: % 116.10/82.14 | (239) sdtlseqdt0(sz10, xn) % 116.10/82.14 | % 116.10/82.14 | From (3360) and (620) follows: % 116.10/82.14 | (266) aNaturalNumber0(all_52_0_18) % 116.10/82.14 | % 116.10/82.14 | From (2813) and (1198) follows: % 116.10/82.14 | (2818) aNaturalNumber0(all_97_2_46) % 116.10/82.14 | % 116.10/82.14 | From (2392) and (1199) follows: % 116.10/82.14 | (52) aNaturalNumber0(sz10) % 116.10/82.14 | % 116.10/82.14 +-Applying beta-rule and splitting (124), into two cases. % 116.10/82.14 |-Branch one: % 116.10/82.14 | (1739) all_0_0_0 = sz00 % 116.10/82.14 | % 116.10/82.14 | Combining equations (1287,1739) yields a new equation: % 116.10/82.14 | (2967) xm = sz00 % 116.10/82.14 | % 116.10/82.14 | Simplifying 2967 yields: % 116.10/82.14 | (1336) xm = sz00 % 116.10/82.14 | % 116.10/82.14 | Equations (1336) can reduce 1339 to: % 116.10/82.14 | (174) $false % 116.10/82.14 | % 116.10/82.14 |-The branch is then unsatisfiable % 116.10/82.14 |-Branch two: % 116.10/82.14 | (1742) ~ (all_0_0_0 = sz00) % 116.10/82.14 | (6891) all_0_0_0 = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, all_0_0_0) & aNaturalNumber0(v0)) % 116.10/82.14 | % 116.10/82.14 | Equations (1287) can reduce 1742 to: % 116.10/82.14 | (1339) ~ (xm = sz00) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (4) with all_0_2_2, xm, xn, sz10, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtasdt0(xm, sz10) = xm, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6893) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v1 & sdtasdt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (11) with xm, all_0_2_2, sz10, xn, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtasdt0(xm, sz10) = xm, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6894) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (65) with all_0_2_2, xm, xn, sz10, xm and discharging atoms sdtasdt0(xm, sz10) = xm, sdtasdt0(xn, xm) = all_0_2_2, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6895) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(xm, v0)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (115) with all_0_2_2, xm, xn, sz10, xm and discharging atoms sdtasdt0(xm, sz10) = xm, sdtasdt0(xn, xm) = all_0_2_2, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6896) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (114) with xm, all_0_2_2, xn, sz10, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtasdt0(sz10, xm) = xm, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6897) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(xm, v1)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (101) with xm, all_0_2_2, xn, sz10, xm and discharging atoms sdtasdt0(xm, xn) = all_0_2_2, sdtasdt0(sz10, xm) = xm, aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6898) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (104) with all_0_2_2, xm, xn, sz10, xm and discharging atoms sdtasdt0(xn, xm) = all_0_2_2, sdtasdt0(sz10, xm) = xm, sdtlseqdt0(sz10, xn), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (6899) xm = sz00 | xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xn) = v1 & sdtasdt0(xm, sz10) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (22) with sz10, sz10, xn and discharging atoms sdtpldt0(xn, sz10) = sz10, aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.14 | (1366) sdtlseqdt0(xn, sz10) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (67) with sz00, sz00, xm, sz00 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.14 | (6901) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(xm, sz00) = v2 & sdtpldt0(sz00, xm) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz00, v0)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (97) with sz00, sz00, xm, sz00 and discharging atoms sdtpldt0(sz00, sz00) = sz00, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.14 | (6902) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(xm, sz00) = v2 & sdtpldt0(sz00, xm) = v1 & sdtpldt0(sz00, sz00) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz00, v2)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (7) with all_228_0_135, all_52_0_18, xm, sz00 and discharging atoms sdtpldt0(all_52_0_18, xm) = all_228_0_135, sdtlseqdt0(sz00, xm), aNaturalNumber0(all_52_0_18), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.14 | (6903) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_228_0_135) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(xm, all_52_0_18) = v2 & sdtpldt0(sz00, all_52_0_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_228_0_135)) % 116.10/82.14 | % 116.10/82.14 | Instantiating formula (7) with all_302_3_207, xm, xm, sz00 and discharging atoms sdtpldt0(xm, xm) = all_302_3_207, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.14 | (6904) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_302_3_207) & sdtpldt0(xm, xm) = v2 & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz00, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_302_3_207)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (94) with all_302_3_207, xm, xm, sz00 and discharging atoms sdtpldt0(xm, xm) = all_302_3_207, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6905) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_302_3_207) & ~ (v1 = v0) & sdtpldt0(xm, xm) = v1 & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v2, all_302_3_207) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (94) with xm, xn, xm, sz00 and discharging atoms sdtpldt0(xm, xn) = xm, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6906) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xm) & ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v2, xm) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (94) with all_97_2_46, sz10, xm, sz00 and discharging atoms sdtpldt0(xm, sz10) = all_97_2_46, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6907) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (7) with xm, xn, xm, sz00 and discharging atoms sdtpldt0(xn, xm) = xm, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(xn), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6908) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xm) & sdtpldt0(xm, xn) = v2 & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz00, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, xm)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (7) with all_97_2_46, sz10, xm, sz00 and discharging atoms sdtpldt0(sz10, xm) = all_97_2_46, sdtlseqdt0(sz00, xm), aNaturalNumber0(xm), aNaturalNumber0(sz10), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6909) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_2_46)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (94) with all_0_2_2, all_142_0_52, xm, sz00 and discharging atoms sdtpldt0(xm, all_142_0_52) = all_0_2_2, sdtlseqdt0(sz00, xm), aNaturalNumber0(all_142_0_52), aNaturalNumber0(xm), aNaturalNumber0(sz00), yields: % 116.10/82.15 | (6910) xm = sz00 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_2_2) & ~ (v1 = v0) & sdtpldt0(all_142_0_52, xm) = v1 & sdtpldt0(all_142_0_52, sz00) = v0 & sdtpldt0(sz00, all_142_0_52) = v2 & sdtlseqdt0(v2, all_0_2_2) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (7) with all_97_2_46, all_97_2_46, xn, sz10 and discharging atoms sdtpldt0(all_97_2_46, xn) = all_97_2_46, sdtlseqdt0(sz10, xn), aNaturalNumber0(all_97_2_46), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.15 | (6911) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_97_2_46, sz10) = v0 & sdtpldt0(xn, all_97_2_46) = v2 & sdtpldt0(sz10, all_97_2_46) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_2_46)) % 116.10/82.15 | % 116.10/82.15 | Instantiating formula (94) with all_97_2_46, all_97_2_46, xn, sz10 and discharging atoms sdtpldt0(xn, all_97_2_46) = all_97_2_46, sdtlseqdt0(sz10, xn), aNaturalNumber0(all_97_2_46), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.15 | (6912) xn = sz10 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(all_97_2_46, xn) = v1 & sdtpldt0(all_97_2_46, sz10) = v0 & sdtpldt0(sz10, all_97_2_46) = v2 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6895), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6916) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(xm, v0)) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6916), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1372) xn = sz10 % 116.10/82.15 | % 116.10/82.15 | Equations (1372) can reduce 1364 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1364) ~ (xn = sz10) % 116.10/82.15 | (6920) ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1 & sdtlseqdt0(v1, all_0_2_2) & sdtlseqdt0(xm, v0)) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6898), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6924) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6910), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6928) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_2_2) & ~ (v1 = v0) & sdtpldt0(all_142_0_52, xm) = v1 & sdtpldt0(all_142_0_52, sz00) = v0 & sdtpldt0(sz00, all_142_0_52) = v2 & sdtlseqdt0(v2, all_0_2_2) & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6924), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1372) xn = sz10 % 116.10/82.15 | % 116.10/82.15 | Equations (1372) can reduce 1364 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1364) ~ (xn = sz10) % 116.10/82.15 | (6932) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6894), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6936) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6936), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1372) xn = sz10 % 116.10/82.15 | % 116.10/82.15 | Equations (1372) can reduce 1364 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1364) ~ (xn = sz10) % 116.10/82.15 | (6940) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6896), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6944) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6944), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1372) xn = sz10 % 116.10/82.15 | % 116.10/82.15 | Equations (1372) can reduce 1364 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1364) ~ (xn = sz10) % 116.10/82.15 | (6948) ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = xm) & sdtasdt0(xm, xn) = v0 & sdtasdt0(sz10, xm) = v1) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6899), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1336) xm = sz00 % 116.10/82.15 | % 116.10/82.15 | Equations (1336) can reduce 1339 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1339) ~ (xm = sz00) % 116.10/82.15 | (6952) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xn) = v1 & sdtasdt0(xm, sz10) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.15 +-Applying beta-rule and splitting (6952), into two cases. % 116.10/82.15 |-Branch one: % 116.10/82.15 | (1372) xn = sz10 % 116.10/82.15 | % 116.10/82.15 | Equations (1372) can reduce 1364 to: % 116.10/82.15 | (174) $false % 116.10/82.15 | % 116.10/82.15 |-The branch is then unsatisfiable % 116.10/82.15 |-Branch two: % 116.10/82.15 | (1364) ~ (xn = sz10) % 116.10/82.15 | (6956) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xm, xn) = v1 & sdtasdt0(xm, sz10) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.15 | % 116.10/82.16 +-Applying beta-rule and splitting (6908), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6960) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = xm) & sdtpldt0(xm, xn) = v2 & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz00, xn) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, xm)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6906), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6964) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xm) & ~ (v1 = v0) & sdtpldt0(xn, xm) = v1 & sdtpldt0(xn, sz00) = v0 & sdtpldt0(sz00, xn) = v2 & sdtlseqdt0(v2, xm) & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6904), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6968) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_302_3_207) & sdtpldt0(xm, xm) = v2 & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz00, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_302_3_207)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6903), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6972) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_228_0_135) & sdtpldt0(all_52_0_18, sz00) = v0 & sdtpldt0(xm, all_52_0_18) = v2 & sdtpldt0(sz00, all_52_0_18) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_228_0_135)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6902), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6976) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = sz00) & ~ (v1 = v0) & sdtpldt0(xm, sz00) = v2 & sdtpldt0(sz00, xm) = v1 & sdtpldt0(sz00, sz00) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(sz00, v2)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6901), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6980) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = sz00) & sdtpldt0(xm, sz00) = v2 & sdtpldt0(sz00, xm) = v0 & sdtpldt0(sz00, sz00) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(sz00, v0)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6905), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6984) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_302_3_207) & ~ (v1 = v0) & sdtpldt0(xm, xm) = v1 & sdtpldt0(xm, sz00) = v0 & sdtpldt0(sz00, xm) = v2 & sdtlseqdt0(v2, all_302_3_207) & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6907), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6988) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(sz10, xm) = v1 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v2 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6909), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6992) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, sz00) = v0 & sdtpldt0(sz00, sz10) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_2_46)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6893), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (6996) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v1 & sdtasdt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6996), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1372) xn = sz10 % 116.10/82.16 | % 116.10/82.16 | Equations (1372) can reduce 1364 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1364) ~ (xn = sz10) % 116.10/82.16 | (7000) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xn, xm) = v1 & sdtasdt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6912), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1372) xn = sz10 % 116.10/82.16 | % 116.10/82.16 | Equations (1372) can reduce 1364 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1364) ~ (xn = sz10) % 116.10/82.16 | (7004) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(all_97_2_46, xn) = v1 & sdtpldt0(all_97_2_46, sz10) = v0 & sdtpldt0(sz10, all_97_2_46) = v2 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6897), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1336) xm = sz00 % 116.10/82.16 | % 116.10/82.16 | Equations (1336) can reduce 1339 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1339) ~ (xm = sz00) % 116.10/82.16 | (7008) xn = sz10 | ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(xm, v1)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (6911), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1372) xn = sz10 % 116.10/82.16 | % 116.10/82.16 | Equations (1372) can reduce 1364 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1364) ~ (xn = sz10) % 116.10/82.16 | (7012) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_97_2_46, sz10) = v0 & sdtpldt0(xn, all_97_2_46) = v2 & sdtpldt0(sz10, all_97_2_46) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_2_46)) % 116.10/82.16 | % 116.10/82.16 +-Applying beta-rule and splitting (7008), into two cases. % 116.10/82.16 |-Branch one: % 116.10/82.16 | (1372) xn = sz10 % 116.10/82.16 | % 116.10/82.16 | Equations (1372) can reduce 1364 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.16 |-Branch two: % 116.10/82.16 | (1364) ~ (xn = sz10) % 116.10/82.16 | (7016) ? [v0] : ? [v1] : ( ~ (v1 = xm) & ~ (v0 = all_0_2_2) & sdtasdt0(xm, sz10) = v0 & sdtasdt0(xn, xm) = v1 & sdtlseqdt0(v0, all_0_2_2) & sdtlseqdt0(xm, v1)) % 116.10/82.16 | % 116.10/82.16 | Instantiating formula (2) with xn, sz10 and discharging atoms sdtlseqdt0(xn, sz10), sdtlseqdt0(sz10, xn), aNaturalNumber0(xn), aNaturalNumber0(sz10), yields: % 116.10/82.16 | (1372) xn = sz10 % 116.10/82.16 | % 116.10/82.16 | Equations (1372) can reduce 1364 to: % 116.10/82.16 | (174) $false % 116.10/82.16 | % 116.10/82.16 |-The branch is then unsatisfiable % 116.10/82.17 |-Branch two: % 116.10/82.17 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.17 | (2889) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xm, xn) = v1 & sdtpldt0(xn, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_0_4_4, v0)) % 116.10/82.17 | % 116.10/82.17 | Instantiating (2889) with all_513_0_5678, all_513_1_5679, all_513_2_5680 yields: % 116.10/82.17 | (7021) ~ (all_513_0_5678 = all_513_1_5679) & ~ (all_513_2_5680 = all_0_4_4) & sdtpldt0(all_0_4_4, xn) = all_513_0_5678 & sdtpldt0(xm, xn) = all_513_1_5679 & sdtpldt0(xn, all_0_4_4) = all_513_2_5680 & sdtlseqdt0(all_513_1_5679, all_513_0_5678) & sdtlseqdt0(all_0_4_4, all_513_2_5680) % 116.10/82.17 | % 116.10/82.17 | Applying alpha-rule on (7021) yields: % 116.10/82.17 | (7022) sdtlseqdt0(all_0_4_4, all_513_2_5680) % 116.10/82.17 | (7023) sdtpldt0(xm, xn) = all_513_1_5679 % 116.10/82.17 | (7024) sdtpldt0(xn, all_0_4_4) = all_513_2_5680 % 116.10/82.17 | (7025) sdtpldt0(all_0_4_4, xn) = all_513_0_5678 % 116.10/82.17 | (7026) ~ (all_513_2_5680 = all_0_4_4) % 116.10/82.17 | (7027) ~ (all_513_0_5678 = all_513_1_5679) % 116.10/82.17 | (7028) sdtlseqdt0(all_513_1_5679, all_513_0_5678) % 116.10/82.17 | % 116.10/82.17 +-Applying beta-rule and splitting (551), into two cases. % 116.10/82.17 |-Branch one: % 116.10/82.17 | (1372) xn = sz10 % 116.10/82.17 | % 116.10/82.17 | Equations (1372) can reduce 1364 to: % 116.10/82.17 | (174) $false % 116.10/82.17 | % 116.10/82.17 |-The branch is then unsatisfiable % 116.10/82.17 |-Branch two: % 116.10/82.17 | (1364) ~ (xn = sz10) % 116.10/82.17 | (1502) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_0_38) & ~ (v1 = v0) & sdtpldt0(xn, xn) = v2 & sdtpldt0(xn, xn) = v1 & sdtpldt0(xn, sz10) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_83_0_38, v2)) % 116.10/82.17 | % 116.10/82.17 +-Applying beta-rule and splitting (583), into two cases. % 116.10/82.17 |-Branch one: % 116.10/82.17 | (1372) xn = sz10 % 116.10/82.17 | % 116.10/82.17 | Equations (1372) can reduce 1364 to: % 116.10/82.17 | (174) $false % 116.10/82.17 | % 116.10/82.17 |-The branch is then unsatisfiable % 116.10/82.17 |-Branch two: % 116.10/82.17 | (1364) ~ (xn = sz10) % 116.10/82.17 | (1549) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = xp) & ~ (v1 = v0) & sdtpldt0(all_52_0_18, xn) = v1 & sdtpldt0(all_52_0_18, sz10) = v0 & sdtpldt0(xn, all_52_0_18) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(xp, v2)) % 116.10/82.17 | % 116.10/82.17 +-Applying beta-rule and splitting (545), into two cases. % 116.10/82.17 |-Branch one: % 116.10/82.17 | (1372) xn = sz10 % 116.10/82.17 | % 116.10/82.17 | Equations (1372) can reduce 1364 to: % 116.10/82.17 | (174) $false % 116.10/82.17 | % 116.10/82.17 |-The branch is then unsatisfiable % 116.10/82.17 |-Branch two: % 116.10/82.17 | (1364) ~ (xn = sz10) % 116.10/82.17 | (1587) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_2_49) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xn, xm) = v2 & sdtpldt0(sz10, xm) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_2_49, v0)) % 116.10/82.17 | % 116.10/82.17 | Instantiating (1587) with all_535_0_5687, all_535_1_5688, all_535_2_5689 yields: % 116.10/82.17 | (7041) ~ (all_535_0_5687 = all_535_1_5688) & ~ (all_535_2_5689 = all_102_2_49) & sdtpldt0(xm, xn) = all_535_2_5689 & sdtpldt0(xn, xm) = all_535_0_5687 & sdtpldt0(sz10, xm) = all_535_1_5688 & sdtlseqdt0(all_535_1_5688, all_535_0_5687) & sdtlseqdt0(all_102_2_49, all_535_2_5689) % 116.10/82.17 | % 116.10/82.17 | Applying alpha-rule on (7041) yields: % 116.10/82.17 | (7042) ~ (all_535_2_5689 = all_102_2_49) % 116.10/82.17 | (7043) sdtlseqdt0(all_102_2_49, all_535_2_5689) % 116.10/82.17 | (7044) sdtlseqdt0(all_535_1_5688, all_535_0_5687) % 116.10/82.17 | (7045) sdtpldt0(xm, xn) = all_535_2_5689 % 116.10/82.17 | (7046) ~ (all_535_0_5687 = all_535_1_5688) % 116.10/82.17 | (7047) sdtpldt0(xn, xm) = all_535_0_5687 % 116.10/82.17 | (7048) sdtpldt0(sz10, xm) = all_535_1_5688 % 116.10/82.17 | % 116.10/82.17 +-Applying beta-rule and splitting (533), into two cases. % 116.10/82.17 |-Branch one: % 116.10/82.17 | (2697) all_0_4_4 = xm % 116.10/82.17 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2925) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v2 & sdtpldt0(xn, all_0_4_4) = v1 & sdtpldt0(xn, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_0_4_4, v2)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (516), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2929) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xm, sz10) = v1) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (547), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1433) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_83_2_40) & ~ (v1 = v0) & sdtpldt0(sz10, xn) = v1 & sdtpldt0(sz10, sz10) = v2 & sdtpldt0(sz10, sz10) = v0 & sdtlseqdt0(v2, all_83_2_40) & sdtlseqdt0(v0, v1)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (511), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1576) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v0 & sdtpldt0(xm, sz10) = v1) % 116.10/82.18 | % 116.10/82.18 | Instantiating (1576) with all_559_0_5698, all_559_1_5699 yields: % 116.10/82.18 | (7065) ~ (all_559_0_5698 = all_559_1_5699) & sdtpldt0(xm, xn) = all_559_1_5699 & sdtpldt0(xm, sz10) = all_559_0_5698 % 116.10/82.18 | % 116.10/82.18 | Applying alpha-rule on (7065) yields: % 116.10/82.18 | (7066) ~ (all_559_0_5698 = all_559_1_5699) % 116.10/82.18 | (7067) sdtpldt0(xm, xn) = all_559_1_5699 % 116.10/82.18 | (7068) sdtpldt0(xm, sz10) = all_559_0_5698 % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (491), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2945) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (535), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2949) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_2_46) & ~ (v1 = v0) & sdtpldt0(xm, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v2, all_97_2_46) & sdtlseqdt0(v0, v1)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (548), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1533) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_97_1_45) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, xn) = v1 & sdtpldt0(all_0_4_4, sz10) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_97_1_45, v2)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (544), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1411) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_2_46) & sdtpldt0(all_0_4_4, xn) = v0 & sdtpldt0(xn, all_0_4_4) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_97_2_46, v0)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (536), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2961) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_102_2_49) & ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(sz10, all_0_4_4) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v0, v1) & sdtlseqdt0(all_102_2_49, v2)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (509), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1387) ? [v0] : ? [v1] : ( ~ (v1 = all_102_1_48) & ~ (v0 = all_0_4_4) & sdtpldt0(xm, sz10) = v0 & sdtpldt0(xn, xm) = v1) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (515), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2977) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(xm, sz10) = v0) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (507), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2981) ? [v0] : ? [v1] : ( ~ (v1 = all_102_2_49) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v1 & sdtpldt0(sz10, xm) = v0) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (538), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (2697) all_0_4_4 = xm % 116.10/82.18 | % 116.10/82.18 | Equations (2697) can reduce 2888 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.18 | (2985) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_102_1_48) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(all_102_1_48, v0)) % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (510), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1490) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0) % 116.10/82.18 | % 116.10/82.18 | Instantiating (1490) with all_623_0_5723, all_623_1_5724 yields: % 116.10/82.18 | (7109) ~ (all_623_0_5723 = all_623_1_5724) & sdtpldt0(xm, xn) = all_623_0_5723 & sdtpldt0(xm, sz10) = all_623_1_5724 % 116.10/82.18 | % 116.10/82.18 | Applying alpha-rule on (7109) yields: % 116.10/82.18 | (7110) ~ (all_623_0_5723 = all_623_1_5724) % 116.10/82.18 | (7111) sdtpldt0(xm, xn) = all_623_0_5723 % 116.10/82.18 | (7112) sdtpldt0(xm, sz10) = all_623_1_5724 % 116.10/82.18 | % 116.10/82.18 +-Applying beta-rule and splitting (543), into two cases. % 116.10/82.18 |-Branch one: % 116.10/82.18 | (1372) xn = sz10 % 116.10/82.18 | % 116.10/82.18 | Equations (1372) can reduce 1364 to: % 116.10/82.18 | (174) $false % 116.10/82.18 | % 116.10/82.18 |-The branch is then unsatisfiable % 116.10/82.18 |-Branch two: % 116.10/82.18 | (1364) ~ (xn = sz10) % 116.10/82.18 | (1421) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = all_0_4_4) & ~ (v1 = v0) & sdtpldt0(xm, xn) = v1 & sdtpldt0(xm, sz10) = v0 & sdtpldt0(sz10, xm) = v2 & sdtlseqdt0(v2, all_0_4_4) & sdtlseqdt0(v0, v1)) % 116.10/82.18 | % 116.10/82.18 | Instantiating (1421) with all_633_0_5725, all_633_1_5726, all_633_2_5727 yields: % 116.10/82.18 | (7117) ~ (all_633_0_5725 = all_0_4_4) & ~ (all_633_1_5726 = all_633_2_5727) & sdtpldt0(xm, xn) = all_633_1_5726 & sdtpldt0(xm, sz10) = all_633_2_5727 & sdtpldt0(sz10, xm) = all_633_0_5725 & sdtlseqdt0(all_633_0_5725, all_0_4_4) & sdtlseqdt0(all_633_2_5727, all_633_1_5726) % 116.10/82.18 | % 116.10/82.18 | Applying alpha-rule on (7117) yields: % 116.10/82.18 | (7118) sdtpldt0(sz10, xm) = all_633_0_5725 % 116.10/82.18 | (7119) ~ (all_633_1_5726 = all_633_2_5727) % 116.10/82.19 | (7120) ~ (all_633_0_5725 = all_0_4_4) % 116.10/82.19 | (7121) sdtpldt0(xm, sz10) = all_633_2_5727 % 116.10/82.19 | (7122) sdtlseqdt0(all_633_2_5727, all_633_1_5726) % 116.10/82.19 | (7123) sdtlseqdt0(all_633_0_5725, all_0_4_4) % 116.10/82.19 | (7124) sdtpldt0(xm, xn) = all_633_1_5726 % 116.10/82.19 | % 116.10/82.19 +-Applying beta-rule and splitting (512), into two cases. % 116.10/82.19 |-Branch one: % 116.10/82.19 | (2697) all_0_4_4 = xm % 116.10/82.19 | % 116.10/82.19 | Equations (2697) can reduce 2888 to: % 116.10/82.19 | (174) $false % 116.10/82.19 | % 116.10/82.19 |-The branch is then unsatisfiable % 116.10/82.19 |-Branch two: % 116.10/82.19 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.19 | (3009) ? [v0] : ? [v1] : ( ~ (v1 = all_97_2_46) & ~ (v0 = all_102_1_48) & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, all_0_4_4) = v0) % 116.10/82.19 | % 116.10/82.19 +-Applying beta-rule and splitting (537), into two cases. % 116.10/82.19 |-Branch one: % 116.10/82.19 | (2697) all_0_4_4 = xm % 116.10/82.19 | % 116.10/82.19 | Equations (2697) can reduce 2888 to: % 116.10/82.19 | (174) $false % 116.10/82.19 | % 116.10/82.19 |-The branch is then unsatisfiable % 116.10/82.19 |-Branch two: % 116.10/82.19 | (2888) ~ (all_0_4_4 = xm) % 116.10/82.19 | (3013) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = v1) & ~ (v0 = all_97_1_45) & sdtpldt0(all_0_4_4, sz10) = v2 & sdtpldt0(xm, sz10) = v1 & sdtpldt0(sz10, xm) = v0 & sdtlseqdt0(v1, v2) & sdtlseqdt0(v0, all_97_1_45)) % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_623_0_5723, all_633_1_5726 and discharging atoms sdtpldt0(xm, xn) = all_633_1_5726, sdtpldt0(xm, xn) = all_623_0_5723, yields: % 116.10/82.19 | (7133) all_633_1_5726 = all_623_0_5723 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_559_1_5699, all_633_1_5726 and discharging atoms sdtpldt0(xm, xn) = all_633_1_5726, sdtpldt0(xm, xn) = all_559_1_5699, yields: % 116.10/82.19 | (7134) all_633_1_5726 = all_559_1_5699 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_535_2_5689, all_623_0_5723 and discharging atoms sdtpldt0(xm, xn) = all_623_0_5723, sdtpldt0(xm, xn) = all_535_2_5689, yields: % 116.10/82.19 | (7135) all_623_0_5723 = all_535_2_5689 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_513_1_5679, all_623_0_5723 and discharging atoms sdtpldt0(xm, xn) = all_623_0_5723, sdtpldt0(xm, xn) = all_513_1_5679, yields: % 116.10/82.19 | (7136) all_623_0_5723 = all_513_1_5679 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_501_1_5188, all_623_0_5723 and discharging atoms sdtpldt0(xm, xn) = all_623_0_5723, sdtpldt0(xm, xn) = all_501_1_5188, yields: % 116.10/82.19 | (7137) all_623_0_5723 = all_501_1_5188 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_484_1_5180, all_0_4_4 and discharging atoms sdtpldt0(xm, xn) = all_484_1_5180, sdtpldt0(xm, xn) = all_0_4_4, yields: % 116.10/82.19 | (7138) all_484_1_5180 = all_0_4_4 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, all_484_1_5180, all_623_0_5723 and discharging atoms sdtpldt0(xm, xn) = all_623_0_5723, sdtpldt0(xm, xn) = all_484_1_5180, yields: % 116.10/82.19 | (7139) all_623_0_5723 = all_484_1_5180 % 116.10/82.19 | % 116.10/82.19 | Instantiating formula (16) with xm, xn, xm, all_623_0_5723 and discharging atoms sdtpldt0(xm, xn) = all_623_0_5723, sdtpldt0(xm, xn) = xm, yields: % 116.10/82.19 | (7140) all_623_0_5723 = xm % 116.10/82.19 | % 116.10/82.19 | Combining equations (7133,7134) yields a new equation: % 116.10/82.19 | (7141) all_623_0_5723 = all_559_1_5699 % 116.10/82.19 | % 116.10/82.19 | Simplifying 7141 yields: % 116.10/82.19 | (7142) all_623_0_5723 = all_559_1_5699 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7136,7142) yields a new equation: % 116.10/82.19 | (7143) all_559_1_5699 = all_513_1_5679 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7139,7142) yields a new equation: % 116.10/82.19 | (7144) all_559_1_5699 = all_484_1_5180 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7135,7142) yields a new equation: % 116.10/82.19 | (7145) all_559_1_5699 = all_535_2_5689 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7140,7142) yields a new equation: % 116.10/82.19 | (7146) all_559_1_5699 = xm % 116.10/82.19 | % 116.10/82.19 | Combining equations (7137,7142) yields a new equation: % 116.10/82.19 | (7147) all_559_1_5699 = all_501_1_5188 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7144,7145) yields a new equation: % 116.10/82.19 | (7148) all_535_2_5689 = all_484_1_5180 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7143,7145) yields a new equation: % 116.10/82.19 | (7149) all_535_2_5689 = all_513_1_5679 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7146,7145) yields a new equation: % 116.10/82.19 | (7150) all_535_2_5689 = xm % 116.10/82.19 | % 116.10/82.19 | Combining equations (7147,7145) yields a new equation: % 116.10/82.19 | (7151) all_535_2_5689 = all_501_1_5188 % 116.10/82.19 | % 116.10/82.19 | Combining equations (7150,7149) yields a new equation: % 116.10/82.19 | (7152) all_513_1_5679 = xm % 116.10/82.19 | % 116.10/82.20 | Combining equations (7148,7149) yields a new equation: % 116.10/82.20 | (7153) all_513_1_5679 = all_484_1_5180 % 116.10/82.20 | % 116.10/82.20 | Combining equations (7151,7149) yields a new equation: % 116.10/82.20 | (7154) all_513_1_5679 = all_501_1_5188 % 116.10/82.20 | % 116.10/82.20 | Combining equations (7152,7154) yields a new equation: % 116.10/82.20 | (6856) all_501_1_5188 = xm % 116.10/82.20 | % 116.10/82.20 | Combining equations (7153,7154) yields a new equation: % 116.10/82.20 | (6809) all_501_1_5188 = all_484_1_5180 % 116.10/82.20 | % 116.10/82.20 | Combining equations (6809,6856) yields a new equation: % 116.10/82.20 | (6864) all_484_1_5180 = xm % 116.10/82.20 | % 116.10/82.20 | Simplifying 6864 yields: % 116.10/82.20 | (6865) all_484_1_5180 = xm % 116.10/82.20 | % 116.10/82.20 | Combining equations (6865,7138) yields a new equation: % 116.10/82.20 | (2697) all_0_4_4 = xm % 116.10/82.20 | % 116.10/82.20 | Equations (2697) can reduce 2888 to: % 116.10/82.20 | (174) $false % 116.10/82.20 | % 116.10/82.20 |-The branch is then unsatisfiable % 116.10/82.20 |-Branch two: % 116.10/82.20 | (7161) ~ (all_0_0_0 = xm) % 116.10/82.20 | (7162) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(xp, all_0_0_0) = v1 & sdtasdt0(xp, xm) = v0) % 116.10/82.20 | % 116.10/82.20 | Instantiating (7162) with all_372_0_5735, all_372_1_5736 yields: % 116.10/82.20 | (7163) ~ (all_372_0_5735 = all_372_1_5736) & sdtasdt0(xp, all_0_0_0) = all_372_0_5735 & sdtasdt0(xp, xm) = all_372_1_5736 % 116.10/82.20 | % 116.10/82.20 | Applying alpha-rule on (7163) yields: % 116.10/82.20 | (7164) ~ (all_372_0_5735 = all_372_1_5736) % 116.10/82.20 | (7165) sdtasdt0(xp, all_0_0_0) = all_372_0_5735 % 116.10/82.20 | (7166) sdtasdt0(xp, xm) = all_372_1_5736 % 116.10/82.20 | % 116.10/82.20 +-Applying beta-rule and splitting (1286), into two cases. % 116.10/82.20 |-Branch one: % 116.10/82.20 | (1287) all_0_0_0 = xm % 116.10/82.20 | % 116.10/82.20 | Equations (1287) can reduce 7161 to: % 116.10/82.20 | (174) $false % 116.10/82.20 | % 116.10/82.20 |-The branch is then unsatisfiable % 116.10/82.20 |-Branch two: % 116.10/82.20 | (7161) ~ (all_0_0_0 = xm) % 116.10/82.20 | (7170) ? [v0] : ? [v1] : ( ~ (v1 = v0) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xm, xp) = v0) % 116.10/82.20 | % 116.10/82.20 +-Applying beta-rule and splitting (192), into two cases. % 116.10/82.20 |-Branch one: % 116.10/82.20 | (173) xp = sz00 % 116.10/82.20 | % 116.10/82.20 | Equations (173) can reduce 37 to: % 116.10/82.20 | (174) $false % 116.10/82.20 | % 116.10/82.20 |-The branch is then unsatisfiable % 116.10/82.20 |-Branch two: % 116.10/82.20 | (37) ~ (xp = sz00) % 116.10/82.20 | (7174) all_0_0_0 = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_1_7) & sdtasdt0(xp, all_0_0_0) = v0 & sdtasdt0(xm, xp) = v1) % 116.10/82.20 | % 116.10/82.20 +-Applying beta-rule and splitting (199), into two cases. % 116.10/82.20 |-Branch one: % 116.10/82.20 | (173) xp = sz00 % 116.10/82.20 | % 116.10/82.20 | Equations (173) can reduce 37 to: % 116.10/82.20 | (174) $false % 116.10/82.20 | % 116.10/82.20 |-The branch is then unsatisfiable % 116.10/82.20 |-Branch two: % 116.10/82.20 | (37) ~ (xp = sz00) % 116.10/82.20 | (7178) all_0_0_0 = xm | ? [v0] : ? [v1] : ( ~ (v1 = all_15_3_9) & ~ (v0 = all_0_2_2) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xp, xm) = v0) % 116.10/82.20 | % 116.10/82.20 +-Applying beta-rule and splitting (7178), into two cases. % 116.10/82.20 |-Branch one: % 116.10/82.20 | (1287) all_0_0_0 = xm % 116.10/82.20 | % 116.10/82.20 | Equations (1287) can reduce 7161 to: % 116.10/82.20 | (174) $false % 116.10/82.20 | % 116.10/82.20 |-The branch is then unsatisfiable % 116.10/82.20 |-Branch two: % 116.38/82.20 | (7161) ~ (all_0_0_0 = xm) % 116.38/82.20 | (7182) ? [v0] : ? [v1] : ( ~ (v1 = all_15_3_9) & ~ (v0 = all_0_2_2) & sdtasdt0(all_0_0_0, xp) = v1 & sdtasdt0(xp, xm) = v0) % 116.38/82.20 | % 116.38/82.20 | Instantiating (7182) with all_392_0_5739, all_392_1_5740 yields: % 116.38/82.20 | (7183) ~ (all_392_0_5739 = all_15_3_9) & ~ (all_392_1_5740 = all_0_2_2) & sdtasdt0(all_0_0_0, xp) = all_392_0_5739 & sdtasdt0(xp, xm) = all_392_1_5740 % 116.38/82.20 | % 116.38/82.20 | Applying alpha-rule on (7183) yields: % 116.38/82.20 | (7184) ~ (all_392_0_5739 = all_15_3_9) % 116.38/82.20 | (7185) ~ (all_392_1_5740 = all_0_2_2) % 116.38/82.21 | (7186) sdtasdt0(all_0_0_0, xp) = all_392_0_5739 % 116.38/82.21 | (7187) sdtasdt0(xp, xm) = all_392_1_5740 % 116.38/82.21 | % 116.38/82.21 +-Applying beta-rule and splitting (7174), into two cases. % 116.38/82.21 |-Branch one: % 116.38/82.21 | (1287) all_0_0_0 = xm % 116.38/82.21 | % 116.38/82.21 | Equations (1287) can reduce 7161 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (7161) ~ (all_0_0_0 = xm) % 116.38/82.21 | (7191) ? [v0] : ? [v1] : ( ~ (v1 = all_0_2_2) & ~ (v0 = all_15_1_7) & sdtasdt0(xp, all_0_0_0) = v0 & sdtasdt0(xm, xp) = v1) % 116.38/82.21 | % 116.38/82.21 | Instantiating (7191) with all_398_0_5741, all_398_1_5742 yields: % 116.38/82.21 | (7192) ~ (all_398_0_5741 = all_0_2_2) & ~ (all_398_1_5742 = all_15_1_7) & sdtasdt0(xp, all_0_0_0) = all_398_1_5742 & sdtasdt0(xm, xp) = all_398_0_5741 % 116.38/82.21 | % 116.38/82.21 | Applying alpha-rule on (7192) yields: % 116.38/82.21 | (7193) ~ (all_398_0_5741 = all_0_2_2) % 116.38/82.21 | (7194) ~ (all_398_1_5742 = all_15_1_7) % 116.38/82.21 | (7195) sdtasdt0(xp, all_0_0_0) = all_398_1_5742 % 116.38/82.21 | (7196) sdtasdt0(xm, xp) = all_398_0_5741 % 116.38/82.21 | % 116.38/82.21 | Instantiating formula (49) with xp, all_0_0_0, all_398_1_5742, all_0_2_2 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_398_1_5742, sdtasdt0(xp, all_0_0_0) = all_0_2_2, yields: % 116.38/82.21 | (7197) all_398_1_5742 = all_0_2_2 % 116.38/82.21 | % 116.38/82.21 | Instantiating formula (49) with xp, all_0_0_0, all_372_0_5735, all_398_1_5742 and discharging atoms sdtasdt0(xp, all_0_0_0) = all_398_1_5742, sdtasdt0(xp, all_0_0_0) = all_372_0_5735, yields: % 116.38/82.21 | (7198) all_398_1_5742 = all_372_0_5735 % 116.38/82.21 | % 116.38/82.21 | Instantiating formula (49) with xp, xm, all_372_1_5736, all_392_1_5740 and discharging atoms sdtasdt0(xp, xm) = all_392_1_5740, sdtasdt0(xp, xm) = all_372_1_5736, yields: % 116.38/82.21 | (7199) all_392_1_5740 = all_372_1_5736 % 116.38/82.21 | % 116.38/82.21 | Instantiating formula (49) with xp, xm, all_0_2_2, all_392_1_5740 and discharging atoms sdtasdt0(xp, xm) = all_392_1_5740, sdtasdt0(xp, xm) = all_0_2_2, yields: % 116.38/82.21 | (7200) all_392_1_5740 = all_0_2_2 % 116.38/82.21 | % 116.38/82.21 | Combining equations (7197,7198) yields a new equation: % 116.38/82.21 | (7201) all_372_0_5735 = all_0_2_2 % 116.38/82.21 | % 116.38/82.21 | Combining equations (7200,7199) yields a new equation: % 116.38/82.21 | (7202) all_372_1_5736 = all_0_2_2 % 116.38/82.21 | % 116.38/82.21 | Equations (7201,7202) can reduce 7164 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (7204) ~ sdtlseqdt0(all_0_0_0, all_0_2_2) % 116.38/82.21 | (173) xp = sz00 % 116.38/82.21 | % 116.38/82.21 | Equations (173) can reduce 37 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (7207) ~ sdtlseqdt0(xm, all_15_3_9) % 116.38/82.21 | (173) xp = sz00 % 116.38/82.21 | % 116.38/82.21 | Equations (173) can reduce 37 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (7210) ~ (xr = xn) % 116.38/82.21 | (7211) ~ sdtlseqdt0(xr, xn) & ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = xn) & sdtpldt0(xr, v0) = v1)) % 116.38/82.21 | % 116.38/82.21 | Applying alpha-rule on (7211) yields: % 116.38/82.21 | (7212) ~ sdtlseqdt0(xr, xn) % 116.38/82.21 | (7213) ! [v0] : ( ~ aNaturalNumber0(v0) | ? [v1] : ( ~ (v1 = xn) & sdtpldt0(xr, v0) = v1)) % 116.38/82.21 | % 116.38/82.21 | Using (215) and (7212) yields: % 116.38/82.21 | (1719) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (7215) ~ sdtlseqdt0(sz10, xp) % 116.38/82.21 | (7216) xp = sz10 | xp = sz00 % 116.38/82.21 | % 116.38/82.21 +-Applying beta-rule and splitting (132), into two cases. % 116.38/82.21 |-Branch one: % 116.38/82.21 | (173) xp = sz00 % 116.38/82.21 | % 116.38/82.21 | Equations (173) can reduce 37 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (37) ~ (xp = sz00) % 116.38/82.21 | (176) xp = sz10 | ? [v0] : (isPrime0(v0) & doDivides0(v0, xp) & aNaturalNumber0(v0)) % 116.38/82.21 | % 116.38/82.21 +-Applying beta-rule and splitting (7216), into two cases. % 116.38/82.21 |-Branch one: % 116.38/82.21 | (173) xp = sz00 % 116.38/82.21 | % 116.38/82.21 | Equations (173) can reduce 37 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 |-Branch two: % 116.38/82.21 | (37) ~ (xp = sz00) % 116.38/82.21 | (177) xp = sz10 % 116.38/82.21 | % 116.38/82.21 | Equations (177) can reduce 18 to: % 116.38/82.21 | (174) $false % 116.38/82.21 | % 116.38/82.21 |-The branch is then unsatisfiable % 116.38/82.21 % SZS output end Proof for theBenchmark % 116.38/82.21 % 116.38/82.21 81625ms %------------------------------------------------------------------------------